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Search: id:A001823
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| A001823 |
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Central factorial numbers.
(Formerly M4671 N1998)
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+0
3
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| 9, 259, 1974, 8778, 28743, 77077, 179452, 375972, 725781, 1312311, 2249170, 3686670, 5818995, 8892009, 13211704, 19153288, 27170913, 37808043, 51708462, 69627922, 92446431, 121181181, 157000116, 201236140, 255401965, 321205599
(list; graph; listen)
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OFFSET
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2,1
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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).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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.
J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217.
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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) = 1/90*n*(n-1)*(2*n+1)*(2*n-1)*(2*n-3)*(10*n+7)
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MAPLE
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A001823:=-(9+196*z+350*z**2+84*z**3+z**4)/(z-1)**7; [Conjectured by S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
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Table[1/90*n*(n - 1)*(2*n + 1)*(2*n - 1)*(2*n - 3)*(10*n + 7), {n, 2, 40}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 15 2006
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CROSSREFS
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a(n-1/2) = 16*A000596(n)
Column 2 in triangle A008956.
Adjacent sequences: A001820 A001821 A001822 this_sequence A001824 A001825 A001826
Sequence in context: A025133 A157575 A072158 this_sequence A117796 A117051 A003387
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 15 2006
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