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 A287894 Sum of the digit sums of the n-th powers of the first n positive integers. 2
 1, 5, 18, 30, 33, 94, 136, 186, 225, 268, 348, 413, 502, 682, 792, 938, 1098, 1254, 1441, 1529, 1647, 1905, 2148, 2392, 2674, 2961, 3150, 3493, 3804, 4007, 4417, 4636, 5103, 5576, 5850, 6234, 6769, 7175, 7659, 7713, 8538, 8848, 9406, 9957, 10332, 11218, 11877 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence is not increasing: a(100) < a(99). - Robert Israel, Jun 30 2017 LINKS Robert Israel, Table of n, a(n) for n = 1..1000 FORMULA a(n) = Sum_{k=1..n} digsum(k^n), n >= 1. EXAMPLE n=1: 1: 1; n=2: 1,4: 1+4=5; n=3: 1,8,27: 1+8+9=18; n=4: 1,16,81,256: 1+7+9+13=30. MAPLE ds:= n -> convert(convert(n, base, 10), `+`): f:= n -> add(ds(k^n), k=1..n): map(f, [\$1..50]); # Robert Israel, Jun 30 2017 MATHEMATICA a[n_] := Sum[ Total@ IntegerDigits[k^n], {k, n}]; Array[a, 50] (* Giovanni Resta, Jun 07 2017 *) PROG (PARI) a(n) = sum(k=1, n, sumdigits(k^n)); \\ Michel Marcus, Jun 06 2017 CROSSREFS Cf. A007953. Sequence in context: A034108 A155450 A322409 * A140365 A063294 A063141 Adjacent sequences: A287891 A287892 A287893 * A287895 A287896 A287897 KEYWORD nonn,base AUTHOR Marian Kraus, Jun 02 2017 STATUS approved

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Last modified September 8 21:41 EDT 2024. Contains 375759 sequences. (Running on oeis4.)