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A004255
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n(n+1)(n^2 -3n + 6)/8.
(Formerly M2794)
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5
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1, 3, 9, 25, 60, 126, 238, 414, 675, 1045, 1551, 2223, 3094, 4200, 5580, 7276, 9333, 11799, 14725, 18165, 22176, 26818, 32154, 38250, 45175, 53001, 61803, 71659, 82650, 94860, 108376, 123288, 139689, 157675, 177345, 198801, 222148, 247494, 274950
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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FORMULA
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G.f.: -x*(1-2*x+4*x^2) / (x-1)^5. - Simon Plouffe in his 1992 dissertation.
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MATHEMATICA
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Table[n(n+1)(n^2-3n+6)/8, {n, 40}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {1, 3, 9, 25, 60}, 40] (* Harvey P. Dale, May 27 2023 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Dennis S. Kluk (mathemagician(AT)ameritech.net)
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STATUS
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approved
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