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A141617 Triangle t(n,m) = prime(m)*prime(n-m)*binomial(n,m) read by rows, 0<=m<=n. 4
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; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

For the purpose of this sequence define prime(0)=1.

Row sums are 1, 4, 14, 46, 148, 462, 1420, 4234, 12356, 34726, 95220,...

LINKS

Table of n, a(n) for n=0..57.

FORMULA

Symmetry: t(n,m) = t(n,n-m).

EXAMPLE

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;

MATHEMATICA

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[%]

CROSSREFS

Cf. A098350.

Sequence in context: A135835 A177696 A134574 * A267644 A204197 A238654

Adjacent sequences:  A141614 A141615 A141616 * A141618 A141619 A141620

KEYWORD

nonn,easy,tabl

AUTHOR

Roger L. Bagula and Gary W. Adamson, Aug 23 2008

STATUS

approved

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Last modified March 24 12:14 EDT 2019. Contains 321448 sequences. (Running on oeis4.)