A082556 G.f.: Product_{m>=1} 1/(1-x^m)^30.

1, 30, 495, 5890, 56265, 456786, 3263990, 21017040, 124018290, 679118550, 3484681077, 16884109080, 77731521980, 341784289770, 1441489548195, 5852747363518, 22948550618400, 87131200662540, 321100847115950, 1150962640399770, 4020058004480100, 13704611801774340

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Index entries for expansions of Product_{k >= 1} (1-x^k)^m

Maple

a:= proc(n) option remember; `if`(n=0, 1, add(
      numtheory[sigma](j)*a(n-j), j=1..n)*30/n)
    end:
seq(a(n), n=0..25);  # Alois P. Heinz, Mar 12 2015

Crossrefs

Cf. 30th column of A144064.

Sequence in context: A212473 A127544 A133927 * A036223 A022658 A090957

Adjacent sequences: A082553 A082554 A082555 * A082557 A082558 A082559

Keyword

nonn

Author

N. J. A. Sloane, May 04 2003

Status

approved