A004801 - OEIS

A004801

Sum of 12 positive 9th powers.

12, 523, 1034, 1545, 2056, 2567, 3078, 3589, 4100, 4611, 5122, 5633, 6144, 19694, 20205, 20716, 21227, 21738, 22249, 22760, 23271, 23782, 24293, 24804, 25315, 39376, 39887, 40398, 40909, 41420, 41931, 42442, 42953, 43464, 43975, 44486, 59058, 59569

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OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

MATHEMATICA

nMax = 10^6; n = 12; lst = {}; While[s = Select[Total /@ (IntegerPartitions[n, {12}]^9), # <= nMax &]; s != {}, lst = Join[lst, s]; n++]; Union[lst] (* T. D. Noe, Apr 11 2011 *)

PROG

(PARI) A004801_upto(N=1e5, n=12, p=9)={my(P=[x^p|x<-[1..sqrtnint(N-n+1, p)]], S=P); while(n--, S=Set(concat([[x+y|y<-S, x+y<=N]|x<-P]))); S} \\ M. F. Hasler, Jul 03 2025

CROSSREFS

Cf. A008453 (ninth powers), A003335 - A004823 (same for 3rd - 11th powers).

Sequence in context: A197771 A198056 A360644 * A202079 A296685 A390900

Adjacent sequences: A004798 A004799 A004800 * A004802 A004803 A004804

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved