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 A108048 Mean of first 42 positive powers of n, i.e., (n + n^2 + n^3 + ... + n^42)/42. 2
 0, 1, 209430786243, 3907821040411155686, 614057559169335453819010, 6767073673905716055915469215, 13749422954239269326919955861621, 8665930063459510313925842272832668 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Similar sequences can be constructed for mean of first powers, giving A001477, for mean of first two powers, giving A000217, and for mean of first six powers, giving A059721. Next similar sequence seems to be for mean of first 1806 powers. LINKS FORMULA a(n) = n*(n^42-1)/(42*(n-1)). EXAMPLE a(2) = (2 + 4 + 8 + ... + 4398046511104)/42 = 8796093022206/42 = 209430786243. MATHEMATICA Table[Mean[n^Range], {n, 0, 10}] (* Harvey P. Dale, Jun 19 2018 *) PROG (PARI) a(n) = if (n<2, n, n*(n^42-1)/(42*(n-1))); \\ Michel Marcus, Jul 26 2017 CROSSREFS Cf. A001477, A000217, A059721. Sequence in context: A217091 A144173 A127343 * A108496 A185430 A221263 Adjacent sequences:  A108045 A108046 A108047 * A108049 A108050 A108051 KEYWORD nonn AUTHOR Henry Bottomley, Jun 01 2005 STATUS approved

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Last modified November 12 22:04 EST 2019. Contains 329079 sequences. (Running on oeis4.)