A292138 G.f.: Im(1/(-i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).

0, -1, -1, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, -1, -2, -2, -4, -6, -7, -8, -10, -13, -14, -14, -15, -17, -17, -15, -15, -16, -14, -10, -8, -6, -1, 5, 10, 14, 21, 31, 38, 43, 53, 64, 71, 77, 86, 97, 104, 108, 115, 124, 127, 125, 127, 130, 125, 116, 110, 103, 89

Offset

0,8

Links

Table of n, a(n) for n=0..64.

Formula

1/(-i*x; x)_inf is the g.f. for A292136(n) + i*a(n).

a(n) = -A292137(n).

Example

Product_{k>=1} 1/(1 + i*x^k) = 1 + (0-1i)*x + (-1-1i)*x^2 + (-1+0i)*x^3 + (-1+0i)*x^4 + (-1+0i)*x^5 + (-2+1i)*x^6 + (-1+2i)*x^7 + ...

Crossrefs

Cf. A292042, A292052, A292136, A292137.

Sequence in context: A250268 A342881 A292137 * A322665 A273632 A347387

Adjacent sequences: A292135 A292136 A292137 * A292139 A292140 A292141

Keyword

sign

Author

Seiichi Manyama, Sep 09 2017

Status

approved