A176489 - OEIS

A176489

Triangle T(n,k) = A176487(n,k)+A176488(n,k)-1 read by rows 0<=k<=n.

1, 1, 1, 1, 12, 1, 1, 35, 35, 1, 1, 82, 206, 82, 1, 1, 177, 922, 922, 177, 1, 1, 368, 3599, 7284, 3599, 368, 1, 1, 751, 12917, 46923, 46923, 12917, 751, 1, 1, 1518, 43876, 264810, 468706, 264810, 43876, 1518, 1, 1, 3053, 143588, 1365740, 3931310

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OFFSET

0,5

COMMENTS

Row sums are 1, 2, 14, 72, 372, 2200, 15220, 121184, 1089116, 10887384, 119752404,....

The row sums s(n) seem to obey (-45*n+124)*s(n) +(45*n^2+127*n-654)*s(n-1) +(-206*n^2+227*n+708)*s(n-2) +(303*n^2-869*n+458)*s(n-3) -2*(71*n-125)*(n-2)*s(n-4)=0. - R. J. Mathar, Jun 16 2015

LINKS

Table of n, a(n) for n=0..49.

EXAMPLE

1, 1;

1, 12, 1;

1, 35, 35, 1;

1, 82, 206, 82, 1;

1, 177, 922, 922, 177, 1;

1, 368, 3599, 7284, 3599, 368, 1;

1, 751, 12917, 46923, 46923, 12917, 751, 1;

1, 1518, 43876, 264810, 468706, 264810, 43876, 1518, 1;

1, 3053, 143588, 1365740, 3931310, 3931310, 1365740, 143588, 3053, 1;