A282919 a(n) = A000041(49*n + 47).

124754, 118114304, 24908858009, 2366022741845, 133978259344888, 5234371069753672, 154043597379576030, 3617712763867604423, 70593393646562135510, 1178875491155735802646, 17229817230617210720599, 224282898599046831034631, 2636785814481962651219075

Offset

0,1

References

G. E. Andrews and B. C. Berndt, Ramanujan's lost notebook, Part III, Springer, New York, 2012, See p. 179.

Links

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

Formula

a(n) = A213261(7*n + 6) = A000041(49*n + 47).

a(n) = 2546 * 7^2 * A160528(n) + 48934 * 7^4 * A282920(n-1) + 1418989 * 7^5 * A282921(n-2) + 2488800 * 7^7 * A282922(n-3) + 2394438 * 7^9 * A282923(n-4) + 1437047 * 7^11 * A282924(n-5) + 4043313 * 7^12 * A282925(n-6) + 161744 * 7^15 * A282926(n-7) + 32136 * 7^17 * A282927(n-8) + 31734 * 7^18 * A282928(n-9) + 3120 * 7^20 * A282929(n-10) + 204 * 7^22 * A282930(n-11) + 8 * 7^24 * A282931(n-12) + 7^25 * A282932(n-13) for n >= 13.

Mathematica

Table[PartitionsP[49n+47], {n, 0, 12}] (* Indranil Ghosh, Feb 25 2017 *)

Prog

(PARI) a(n) = numbpart(49*n+47); \\ Indranil Ghosh, Feb 25 2017

Crossrefs

Cf. A160528, A282920, A282921, A282922, A282923, A282924, A282925, A282926, A282927, A282928, A282929, A282930, A282931, A282932.

Cf. A000041, A213261 (p(7*n + 5)), A277958, A278559 (p(25*n + 24)), this sequence (p(49*n + 47)).

Sequence in context: A030639 A261439 A182658 * A100406 A351948 A341115

Adjacent sequences: A282916 A282917 A282918 * A282920 A282921 A282922

Keyword

nonn

Author

Seiichi Manyama, Feb 24 2017

Status

approved