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Search: id:A053698
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| 1, 4, 15, 40, 85, 156, 259, 400, 585, 820, 1111, 1464, 1885, 2380, 2955, 3616, 4369, 5220, 6175, 7240, 8421, 9724, 11155, 12720, 14425, 16276, 18279, 20440, 22765, 25260, 27931, 30784, 33825, 37060, 40495, 44136, 47989, 52060, 56355, 60880
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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a(n) = 1111 in base n.
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FORMULA
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a(n) = (n^4-1)/(n-1) = A024002(n)/A024000(n) = A002522(n)*(n+1) = A002061(n+1)+A000578(n).
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EXAMPLE
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a(3) = 40 because 1111 base 3 = 27+9+3+1 = 40
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MAPLE
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a:=n->sum(sum(binomial(n, k)*k!*(-1)^j, j=0..20), k=1..3): seq(a(n), n=1..40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 18 2007
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MATHEMATICA
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lst={}; Do[a=n^3+n^2+n+1; AppendTo[lst, a], {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 25 2009]
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CROSSREFS
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Sequence in context: A112666 A014629 A062486 this_sequence A162867 A059140 A031164
Adjacent sequences: A053695 A053696 A053697 this_sequence A053699 A053700 A053701
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KEYWORD
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base,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Mar 23 2000
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