A289148 Coefficients of the modular function j_5 = j^5 - 3720*j^4 + 4550940*j^3 - 2028551200*j^2 + 246683410950*j - 1963211493744.

1, 0, 0, 0, 0, 0, 1666013203000, 112836966547968000, 630714582328909215375, 947249881244466950144000, 609416421652112552166954384, 213903911221066312835291136000, 47340830678511302158231317193000, 7263446272196810848971777146880000

Offset

-5,7

Links

Seiichi Manyama, Table of n, a(n) for n = -5..1000

Formula

a(n) ~ 5^(1/4) * exp(4*Pi*sqrt(5*n)) / (sqrt(2)*n^(3/4)). - Vaclav Kotesovec, Jun 29 2017

Crossrefs

Cf. A014708 (j_1), A288843 (j_2), A288844 (j_3), A289116 (j_4), this sequence (j_5), A289149 (j_6).

Cf. A000521 (j), A028515 ((q*j)^2), A288846 ((q*j)^3).

Cf. A289141.

Sequence in context: A248892 A172799 A015422 * A282182 A017543 A333977

Adjacent sequences: A289145 A289146 A289147 * A289149 A289150 A289151

Keyword

nonn

Author

Seiichi Manyama, Jun 26 2017

Status

approved