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A210840
Sum of the 8th powers of the digits of n.
3
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
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.
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
KEYWORD
nonn,base,easy
AUTHOR
Jonathan Vos Post, May 10 2012
STATUS
approved