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Search: id:A120277
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| A120277 |
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Sum of all matrix elements of n X N matrix M[i,j]=(2n+i+j)!/(n+i)!/(n+j)!, i,j=1..n. |
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+0
1
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| 6, 160, 2842, 44868, 681604, 10248992, 154149762, 2327405740, 35305388536, 538000530912, 8231764528156, 126399786937760, 1946868985459272, 30066806831424448, 465425347391123282, 7219408741591089660
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OFFSET
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1,1
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COMMENT
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p divides a((p-1)/2) for prime p>2.
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FORMULA
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a(n) = Sum[Sum[(2n+i+j)!/(n+i)!/(n+j)!,{i,1,n}],{j,1,n}].
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MATHEMATICA
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Table[Sum[Sum[(2n+i+j)!/(n+i)!/(n+j)!, {i, 1, n}], {j, 1, n}], {n, 1, 20}]
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CROSSREFS
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Sequence in context: A003460 A128120 A030449 this_sequence A015086 A052466 A078535
Adjacent sequences: A120274 A120275 A120276 this_sequence A120278 A120279 A120280
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 04 2006
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