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Search: id:A153189
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| A153189 |
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Triangle sequence: t(n,m)=Product[m*k + 1, {k, 0, n}]. |
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+0
1
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| 1, 2, 1, 3, 15, 1, 4, 28, 280, 1, 5, 45, 585, 9945, 1, 6, 66, 1056, 22176, 576576, 1, 7, 91, 1729, 43225, 1339975, 49579075, 1, 8, 120, 2640, 76560, 2756160, 118514880, 5925744000, 1, 9, 153, 3825, 126225, 5175225, 253586025, 14454403425
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums are:
{0, 2, 18, 312, 10580, 599880, 50964102, 6047094368, 954249517512,
193146844030200, 48762935887310810,...}
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FORMULA
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t(n,m)=Product[m*k + 1, {k, 0, n}]; t(n,m)=m^(1+n)*Pochhammer[1/m,n+1].
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EXAMPLE
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{1, 2},
{1, 3, 15},
{1, 4, 28, 280},
{1, 5, 45, 585, 9945},
{1, 6, 66, 1056, 22176, 576576},
{1, 7, 91, 1729, 43225, 1339975, 49579075},
{1, 8, 120, 2640, 76560, 2756160, 118514880, 5925744000},
{1, 9, 153, 3825, 126225, 5175225, 253586025, 14454403425, 939536222625},
{1, 10, 190, 5320, 196840, 9054640, 498005200, 31872332800, 2326680294400, 190787784140800},
{1, 11, 231, 7161, 293601, 14973651, 913392711, 64850882481, 5252921480961, 478015854767451, 48279601331512551}
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MATHEMATICA
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t[n_, m_] =Product[m*k + 1, {k, 0, n}];
Table[Table[t[n, m], {n, 0, m}], {m, 1, 10}];
Flatten[%]
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CROSSREFS
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A008544,A000165
Sequence in context: A122050 A081323 A007447 this_sequence A095852 A000618 A132950
Adjacent sequences: A153186 A153187 A153188 this_sequence A153190 A153191 A153192
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Dec 20 2008
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