Integer sequences published in the "On-Line Encyclopedia of Integer Sequences of ATT Research"

A014681

0,2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19,22,21,24,23,26,25,28,27,30,29,32,31,34,33,36,35,38,37,40,39,42,41

a(0) = 0; a(2m+1) = 2m+2; for m > 0 a(2m) = 2m - 1

A065530

0,1,8,3,24,5,48,7,80,9,120,11,168,13,224,15,288,17,360,19,440,21,528,23,524,25,728,27,840,29,960,31

If n is odd then a(n) = n, else a(n) = n*(n+2)

A066032

0,4,6,12,14,20,22,28,30,36,38,44,46,52,54,60,62,68,70,76,78

a(0) =0; in groups of four add the odd and even numbers.

A065599

0,1,2,9,4,25,6,49,8,81,10,121,12,169,14,225,16,289,18,361, 20,441,22,529,24,625,26,729,28,841,30,961,32,1089,34,1225

If n odd, a(n) = n^2 else a(n) = n.

A065961

1,120,60480,79833600,217945728000,1067062284288000,8515157028618240000,103408066955539906560000,

((3*n-1)!*n)/2

A066043

1, 2, 6, 4, 10, 6, 14, 8, 18, 10, 22, 12, 26, 14, 30,16,34,18,38,20,42,22, 46,24,50,26,54,28,58,30,62,32,66 ....

a(1) = 1; for m > 0, a(2m) = 2m, a(2m+1) = 4m + 2

A066061

1,6,5040,6227020800,51090942171709440000, 8222838654177922817725562880000000,

(n^2 + n + 1)!

A066068

1,2,6,30,260,3130,46662,823550,16777224,387420498

n^n + n

A066070

1,6,3,10,5,14,7,18,9,22,11,26,13,30,15,34,17,38,19,42,21,46,23,50,25,54,27,58,29,62,31,66,33,70,35,74,37,78,39,82,41,86,

a(1) = 1; for m > 0, a(2m) = 2(2m+1), a(2m+1) = 2m+1

A066084

2,3,8,45,604,14525,519126,25406647

(n!)^2 + n! + n

A066104

0,4,2,8,4,12,6,16,8,20,10,24,12,28,14,32,16,36,18,40,20,44,22,48,24,52,26,56,28,60,30

a(2n) = 2n, a(2n+1) = 4(n+1)

A066106

0,4,8,8,24,12,48,16,80,20,120,24,168,28,224,32,288,36,360,40,440,44,528,48,624,52

(0) = 0; for n>0, a(2n) = (2n)(2n+2); a(2n+1) = 2n+2.

A066107

0,3,6,15,10,35,14,63,18,99,22,143,26,195,30,255,34,323,38,399,42,483,46,575,50

a(0) = 0; for n>0, a(2n+1) = (2n+1)(2n+3); a(2n) = 2n+2

A066114

1,2,7,30,156,960,6840,55440,504000,5080320,56246400, 678585600,8861529600,124540416000,1874333260800,

a(0) = 1; for n > 0, a(n) = (n!*(3*n+1))/2.

A066118

1,5,24,132,840,6120,50400,463680,4717440,52617600,638668800

for n > 0, a(n) = (n!*(3*n-1))/2

A066141

5,13,69,631,7783,117657,2097161,43046731,1000000011

n^(n-1) + n + 1

A066142

3,3,7,43,601,14521,519121,25406641

(n!)^2 + n! + 1

16 -> A066143

1,3,8,18,44,150,762,5096,40392,362970,3628910,39916932, 479001756

n^2 + n! + n

A066279

2,3,7,31,261,3131,46663,823551,16777225,387420499,10000000011

n^n + n + 1

A066280

32,90,260,762,2252,6690,19940,59562,178172,533490,1598420,4791162,14365292

1^(n+1) + 2^(n+2) + 3^(n+3)

A066299

0,2,3,6,7,10,11,14,15,18,19,22,23,26,27,30,31,34,35,38,39

a(0) =0; in groups of four add and divide by two the odd and even numbers.

A066327

11,10,101,111,110,1001,1000,1010,1101,1100

Binary string which equals n when 1's, 2's, 4's and 8's bits have weights -1, 1, 3, 6 respectively, while the other bits have their usual weights

A066329

0,1,11,100,101,1000,1001,1011,1100,1101

Binary string which equals n when 1's, 2's, 4's and 8's bits have weights 1, 1, 3, 5 respectively, while the other bits have their usual weights.

A066330

0,1,10,11,100,1000,1001,1010,1011,110

Binary string which equals n when 1's, 2's, 4's and 8's bits have weights 1, 2, 4, 5 respectively, while the other bits have their usual weights

A066334

0,1,10,11,100,1011,1100,1101,1110,1111

Binary string which equals n when 1's, 2's, 4's and 8's bits have weights 1, 2, 4, 2 respectively, while the other bits have their usual weights

A066335

0,111,110,101,100,1011,1010,1001,1000,1111

Binary string which equals n when 1's and 2's bits have negative weights.

A066336

0,1,2,3,4,11,12,13,14,15

Decimal equivalent of A066334.

A066337

3,2,5,7,6,9,8,10,13,12

Decimal equivalent of A066327.

A066338

0,1,3,4,8,9,10,11,12

Decimal equivalent of A066330.

A067389

0,6,34,102,228,430,726,1134,1672,2358,3210,4246,5484,6942,8638,10590,12816,15334,18162,21318,

3*n^3 + 2*n^2 + n

A067998

0, 1, 0, 3, 8, 15, 24, 35, 48, 63, 80, 99, 120, 143, 168,195, 224, 255, 288, 323, 360, 399, 440, 483, 528, 575, 624, 675, 728,

n^2 - 2*n