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Search: id:A001234
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| A001234 |
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Stirling numbers of first kind.
(Formerly M5202 N2264)
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+0
2
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| 1, 28, 546, 9450, 157773, 2637558, 44990231, 790943153, 14409322928, 272803210680, 5374523477960, 110228466184200, 2353125040549984
(list; graph; listen)
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OFFSET
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7,2
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COMMENT
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Let P(n+5,X)=(X+1)(X+2)(X+3)...(X+n+5); then a(n) is the coefficient of X^6; or a(n)=P^(vi)(n+5,0)/6! - Benoit Cloitre (benoit7848c(AT)orange.fr), May 09 2002
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 834.
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 226.
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LINKS
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T. D. Noe, Table of n, a(n) for n=7..100
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
Zerinvary Lajos, Sage Notebooks
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PROGRAM
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(PARI) for(n=6, 50, print1(polcoeff(prod(i=1, n, x+i), 6, x), ", "))
sage: [stirling_number1(i, 7) for i in xrange(7, 22)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 27 2008
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CROSSREFS
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Cf. A008275 (Stirling1 triangle).
Sequence in context: A022000 A020569 A092708 this_sequence A062142 A107397 A053110
Adjacent sequences: A001231 A001232 A001233 this_sequence A001235 A001236 A001237
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KEYWORD
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nonn
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AUTHOR
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njas
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