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Search: id:A005492
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| A005492 |
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From expansion of falling factorials.
(Formerly M3495)
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+0
2
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| 4, 15, 52, 151, 372, 799, 1540, 2727, 4516, 7087, 10644, 15415, 21652, 29631, 39652, 52039, 67140, 85327, 106996, 132567, 162484, 197215, 237252, 283111, 335332, 394479, 461140, 535927, 619476, 712447, 815524, 929415, 1054852, 1192591
(list; graph; listen)
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OFFSET
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4,1
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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).
E. G. Whitehead, Jr., Stirling number identities from chromatic polynomials, J. Combin. Theory, A 24 (1978), 314-317.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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FORMULA
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a(n) = 5a(n-1) - 10a(n-2) + 10a(n-3) - 5a(n-4) + a(n-5).
n^4 - 16n^3 + 102n^2 - 300n + 340.
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MAPLE
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A005492:=-(15-23*z+41*z**2-13*z**3+4*z**4)/(z-1)**5; [Conjectured by S. Plouffe in his 1992 dissertation. Gives sequence except for the leading 4.]
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CROSSREFS
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Sequence in context: A094705 A055218 A107307 this_sequence A003013 A117202 A137213
Adjacent sequences: A005489 A005490 A005491 this_sequence A005493 A005494 A005495
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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More terms from Pab Ter (pabrlos(AT)yahoo.com), May 09 2004
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