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Search: id:A022917
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| A022917 |
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Multinomial coefficient n!/ ([n/4]!, [(n+1)/4]!, [(n+2)/4]!, [(n+3)/4]!). |
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+0
1
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| 1, 1, 2, 6, 24, 60, 180, 630, 2520, 7560, 25200, 92400, 369600, 1201200, 4204200, 15765750, 63063000, 214414200, 771891120, 2933186256, 11732745024, 41064607584, 150570227808, 577185873264, 2308743493056, 8245512475200
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Multinomial coefficients(TOP, BOTTOM), where TOP = n, BOTTOM = ( a b c d ) where a = [ n/4 ], b = [ n/4 ], c = [ n/4 ], d = [ n/4 ] if n==0 mod 4; a = [ n/4 ], b = [ n/4 ], c = [ n/4 ], d = [ n/4 ]+1 if n==1 mod 4; a = [ n/4 ], b = [ n/4 ], c = [ n/4 ]+1, d = [ n/4 ]+1 if n==2 mod 4; a = [ n/4 ], b = [ n/4 ]+1, c = [ n/4 ]+1, d = [ n/4 ]+1 if n==3 mod 4.
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PROGRAM
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(PARI) {a(n)= if(n<0, 0, n!/(n\4)!/((n+1)\4)!/((n+2)\4)!/((n+3)\4)!)} /* Michael Somos Jun 20 2007 */
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CROSSREFS
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Sequence in context: A099144 A104114 A118038 this_sequence A107762 A027562 A096259
Adjacent sequences: A022914 A022915 A022916 this_sequence A022918 A022919 A022920
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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Corrected by Michael Somos, Jun 20 2007
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