A166604 Numbers k such that Sum_{i=1..k} i^4 divides Product_{i=1..k} i^4.

1, 31, 59, 94, 104, 122, 133, 181, 206, 223, 244, 248, 283, 298, 318, 342, 356, 401, 406, 421, 422, 439, 444, 449, 451, 469, 479, 493, 496, 507, 528, 532, 536, 541, 555, 597, 631, 637, 643, 668, 701, 706, 712, 717, 721, 722, 754, 762, 795, 797, 801, 815, 842

Offset: 1

Author

Alexander Adamchuk, Oct 18 2009

Keywords

• nonn

Examples

			a(2) = A125314(4) = 31.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..3000

Crossrefs

Cf. A125314, A166602, A060462, A166605, A166606, A166607, A166608, A166609, A166610, A181426, A334734.

Programs

Mathematica

k = s = 1; p = 1; lst = {}; While[k < 1000, If[ Mod[p, s] == 0, AppendTo[lst, k]]; k++; s = s + k^4; p = p*k^4]; lst (* Robert G. Wilson v, Nov 02 2009 *)
Module[{nn=1000,c},c=Range[nn]^4;Select[Range[nn],Divisible[Times@@ Take[ c,#], Total[Take[c,#]]]&]] (* Harvey P. Dale, Dec 18 2013 *)

Extensions

a(15)-a(53) from Robert G. Wilson v, Nov 02 2009