A004812 Numbers that are the sum of 12 positive 10th powers.

12, 1035, 2058, 3081, 4104, 5127, 6150, 7173, 8196, 9219, 10242, 11265, 12288, 59060, 60083, 61106, 62129, 63152, 64175, 65198, 66221, 67244, 68267, 69290, 70313, 118108, 119131, 120154, 121177, 122200, 123223, 124246, 125269, 126292, 127315, 128338, 177156, 178179, 179202

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Examples

			From _David A. Corneth_, Aug 02 2020: (Start)
40172177 is in the sequence as 40172177 = 1^10 + 1^10 + 1^10 + 1^10 + 2^10 + 2^10 + 3^10 + 4^10 + 5^10 + 5^10 + 5^10 + 5^10.
90873751 is in the sequence as 90873751 = 1^10 + 1^10 + 1^10 + 2^10 + 2^10 + 2^10 + 3^10 + 4^10 + 5^10 + 5^10 + 5^10 + 6^10.
122264704 is in the sequence as 122264704 = 1^10 + 3^10 + 4^10 + 4^10 + 4^10 + 5^10 + 5^10 + 5^10 + 5^10 + 5^10 + 5^10 + 6^10. (End)
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)

Crossrefs

Cf. A008454 (tenth powers), A003335 - A004823 (same for 3rd - 11th powers).

Programs

PARI

A004812_upto(N, n=12, p=10)={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