A282431 - OEIS

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A282431

Coefficients in q-expansion of E_2^5, where E_2 is the Eisenstein series A006352.

4

1, -120, 5400, -104160, 511800, 6770736, -19504800, -452207040, -2959622280, -12932941080, -44497080432, -129918587040, -335811977760, -788655411600, -1714912983360, -3498061536576, -6761506680840, -12481939678320, -22138262633160, -37922739116640

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

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

MATHEMATICA

terms = 20;

E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];

E2[x]^5 + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 27 2018 *)

CROSSREFS

Cf. this sequence (E_2^5), A282015 (E_4^5), A282433 (E_6^5).

Cf. A006352 (E_2), A281374 (E_2^2), A282018 (E_2^3), A282210 (E_2^4), this sequence (E_2^5).

Sequence in context: A126245 A221435 A229636 * A008661 A246216 A246284

Adjacent sequences: A282428 A282429 A282430 * A282432 A282433 A282434

KEYWORD

sign

AUTHOR

Seiichi Manyama, Feb 15 2017

STATUS

approved