A292140 -id:A292140 - cp's OEIS frontend

A292141 a(n) = -A292140(n)/2.

1, 1, 1, -3, -3, -7, -11, -15, -19, -27, -15, -23, -15, -7, 17, 37, 77, 113, 181, 249, 349, 381, 529, 609, 737, 817, 945, 957, 1037, 1001, 981, 785, 605, 133, -303, -1095, -1727, -3015, -4191, -5963, -7667, -10095, -12379, -15495, -18339, -22067, -25631

Offset: 0

Seiichi Manyama, Sep 09 2017

sign

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Cf. A292140, A292143.

A292135 G.f.: Re((2*i; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).

Original entry on oeis.org

1, -4, -4, -8, -8, -12, 4, 0, 16, 28, 60, 72, 120, 148, 212, 192, 272, 268, 316, 264, 264, 116, 84, -176, -368, -788, -1140, -1848, -2168, -3164, -3884, -5040, -5920, -7412, -8308, -9960, -10872, -12540, -13276, -14768, -14752, -15620, -14644, -14120, -11304

Offset: 0

Seiichi Manyama, Sep 09 2017

sign

Seiichi Manyama, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, q-Pochhammer Symbol.

Column k=2 of A292159.

Cf. A278399, A292140, A292142.

(2*i; x)_inf is the g.f. for a(n) + i*A292140(n).

A292160 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Im((k*i; x)_inf), and (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).

Original entry on oeis.org

0, -1, 0, -2, -1, 0, -3, -2, -1, 0, -4, -3, -2, 0, 0, -5, -4, -3, 6, 0, 0, -6, -5, -4, 24, 6, 1, 0, -7, -6, -5, 60, 24, 14, 2, 0, -8, -7, -6, 120, 60, 51, 22, 3, 0, -9, -8, -7, 210, 120, 124, 78, 30, 4, 0, -10, -9, -8, 336, 210, 245, 188, 105, 38, 6, 0, -11, -10

Offset: 0

Seiichi Manyama, Sep 10 2017

			Square array begins:
   0, -1, -2, -3, -4, ...
   0, -1, -2, -3, -4, ...
   0, -1, -2, -3, -4, ...
   0,  0,  6, 24, 60, ...
   0,  0,  6, 24, 60, ...

Eric Weisstein's World of Mathematics, q-Pochhammer Symbol.

Columns k=0..2 give A000004, A278400, A292140.
Rows 0+2 give (-1)*A001477.
Main diagonal gives A292162.
Cf. A292159.

cp's OEIS Frontend

A292141 a(n) = -A292140(n)/2.

Views

Author

Keywords

Links

Crossrefs

A292135 G.f.: Re((2*i; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).

Views

Author

Keywords

Links

Crossrefs

Formula

A292160 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Im((k*i; x)_inf), and (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).

Views

Author

Keywords

Examples

Links

Crossrefs