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Search: id:A141617
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| A141617 |
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Symmetrical triangle of coefficients: t(n,m)=If[n == m == 0, 1, If[m == 0 || m ==n, Prime[n], (Prime[n - m]*Prime[m])*Binomial[n, m]]]. |
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+0
5
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| 1, 2, 2, 3, 8, 3, 5, 18, 18, 5, 7, 40, 54, 40, 7, 11, 70, 150, 150, 70, 11, 13, 132, 315, 500, 315, 132, 13, 17, 182, 693, 1225, 1225, 693, 182, 17, 19, 272, 1092, 3080, 3430, 3080, 1092, 272, 19, 23, 342, 1836, 5460, 9702, 9702, 5460, 1836, 342, 23, 29, 460, 2565
(list; table; 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:
{4, 14, 46, 148, 462, 1420, 4234, 12356, 34726, 95220}.
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FORMULA
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t(n,m)=If[n == m == 0, 1, If[m == 0 || m ==n, Prime[n], (Prime[n - m]*Prime[m])*Binomial[n, m]]].
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EXAMPLE
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{1},
{2, 2},
{3, 8, 3},
{5, 18, 18, 5},
{7, 40, 54, 40, 7},
{11, 70, 150, 150, 70, 11},
{13, 132, 315, 500, 315, 132, 13},
{17, 182, 693, 1225, 1225, 693, 182, 17},
{19, 272, 1092, 3080, 3430, 3080, 1092, 272, 19},
{23, 342, 1836, 5460, 9702, 9702, 5460, 1836, 342, 23},
{29, 460, 2565, 10200, 19110, 30492, 19110, 10200, 2565, 460, 29}
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MATHEMATICA
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Table[Table[If[n == m ==0, 1, If[m == 0 || m == n, Prime[n], (Prime[n - m]*Prime[m])*Binomial[n, m]]], {m, 0, n}], {n, 0, 10}] Flatten[%]
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CROSSREFS
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Cf. A098350.
Sequence in context: A145596 A135835 A134574 this_sequence A100551 A070267 A056762
Adjacent sequences: A141614 A141615 A141616 this_sequence A141618 A141619 A141620
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KEYWORD
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nonn,uned,tabl
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Aug 23 2008
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