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A210840

Sum of the 8th powers of the digits of n.

0, 1, 256, 6561, 65536, 390625, 1679616, 5764801, 16777216, 43046721, 1, 2, 257, 6562, 65537, 390626, 1679617, 5764802, 16777217, 43046722, 256, 257, 512, 6817, 65792, 390881, 1679872, 5765057, 16777472, 43046977, 6561, 6562, 6817, 13122, 72097, 397186

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OFFSET

0,3

COMMENTS

This is to exponent 8 as A007953 is to exponent 0, A003132 is to exponent 2, and A055013 is to exponent 4. The subsequence of primes (for n = 11, 12, 14, 21, 41, ...) begins 2, 257, 65537, 65537.

LINKS

Table of n, a(n) for n=0..35.

EXAMPLE

a(12) = 1^8 + 2^8 = 257.

MATHEMATICA

Table[Total[IntegerDigits[n]^8], {n, 0, 100}] (* T. D. Noe, May 18 2012 *)

Table[Sum[DigitCount[n][[i]] i^8, {i, 9}], {n, 0, 35}] (* Bruno Berselli, Feb 01 2013 *)

PROG

(Magma) [0] cat [&+[d^8: d in Intseq(n)]: n in [1..35]]; // Bruno Berselli, Feb 01 2013

CROSSREFS

Cf. A007953, A003132, A055013.

Sequence in context: A351196 A016900 A017680 * A001016 A352054 A351606