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A062146
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Row sums of signed triangle A062137 (generalized Laguerre, a=3).
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3
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1, 3, 11, 47, 225, 1159, 6067, 28419, 58433, -1390645, -35514309, -636045257, -10431927839, -167173905393, -2678202265885, -43236880758901, -703702453254783, -11485574113211501, -185707408082199317, -2901041900411825985
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,100
Index entries for sequences related to Laguerre polynomials
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FORMULA
| E.g.f.: exp(-x/(1-x))/(1-x)^4.
a(n)=sum(((-1)^m)*n!*binomial(n+3, n-m)/m!, m=0..n).
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PROG
| (PARI) { f=1; for (n=0, 100, if (n>1, f*=n); a=f*binomial(n+3, n); g=1; a+=sum(m=1, n, ((-1)^m)*f*binomial(n+3, n-m)/g*=m); write("b062146.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 02 2009]
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CROSSREFS
| Sequence in context: A059284 A118927 A174347 * A090365 A035009 A051296
Adjacent sequences: A062143 A062144 A062145 * A062147 A062148 A062149
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KEYWORD
| sign,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jun 19 2001
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