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Search: id:A108048
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| A108048 |
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Mean of first 42 positive powers of n, i.e. (n+n^2+n^3+...+n^42)/42. |
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+0
3
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| 0, 1, 209430786243, 3907821040411155686, 614057559169335453819010, 6767073673905716055915469215, 13749422954239269326919955861621, 8665930063459510313925842272832668
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Also possible for mean of first one power A001477, for mean of first two powers A000217 and for mean of first six powers A059721. Next similar sequence seems to be for mean of first 1806 powers.
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FORMULA
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a(n) =n*(n^42-1)/(42*(n-1))
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EXAMPLE
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a(2) = (2+4+8+...+4398046511104)/42 = 8796093022206/42 = 209430786243.
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CROSSREFS
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Sequence in context: A104800 A144173 A127343 this_sequence A108496 A112431 A132908
Adjacent sequences: A108045 A108046 A108047 this_sequence A108049 A108050 A108051
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jun 01 2005
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