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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
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6, 160, 2842, 44868, 681604, 10248992, 154149762, 2327405740, 35305388536, 538000530912, 8231764528156, 126399786937760, 1946868985459272, 30066806831424448, 465425347391123282, 7219408741591089660
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| p divides a((p-1)/2) for prime p>2.
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FORMULA
| a(n) = Sum[Sum[(2n+i+j)!/(n+i)!/(n+j)!,{i,1,n}],{j,1,n}].
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MATHEMATICA
| Table[Sum[Sum[(2n+i+j)!/(n+i)!/(n+j)!, {i, 1, n}], {j, 1, n}], {n, 1, 20}]
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CROSSREFS
| Sequence in context: A203023 A128120 A030449 * A193370 A015086 A052466
Adjacent sequences: A120274 A120275 A120276 * A120278 A120279 A120280
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KEYWORD
| nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 04 2006
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