A282941 a(n) = A000730(7*n).

1, 41, -176, 98, 322, -181, -140, -489, 112, 889, 14, -560, 125, 154, 756, -1317, -1778, 1554, -1218, 2688, 1764, -980, 71, -1575, 14, -1638, -419, 56, -1988, -2716, 6223, 6860, 1302, -700, -3416, -4733, -2548, -4725, 3836, 1106, 2631, 5096, -5656, 2660, -7875

Offset

0,2

References

G. E. Andrews and B. C. Berndt, Ramanujan's lost notebook, Part III, Springer, New York, 2012, See p. 191.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Formula

G.f.: Product_{n>=1} (1 - q^n)^8/(1 - q^(7*n)) + 49*q*(Product_{n>=1} (1 - q^n)^4*(1 - q^(7*n))^3).

a(n) = (-1)^j mod 7 if n = j*(3*j - 1)/2 for all j in Z; otherwise a(n) = 0 mod 7.

a(n) = A282942(n) mod 49.

Example

G.f.: 1 + 41*q - 176*q^2 + 98*q^3 + 322*q^4 - 181*q^5 - 140*q^6 - 489*q^7 + ...

Crossrefs

Cf. A000730, A116916, A282937, A282942.

Sequence in context: A275269 A142310 A033228 * A141922 A142080 A254228

Adjacent sequences: A282938 A282939 A282940 * A282942 A282943 A282944

Keyword

sign

Author

Seiichi Manyama, Feb 25 2017

Status

approved