A171368 -id:A171368 - cp's OEIS frontend

A171839 Equal to A171368*A007318.

1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 3, 2, 1, 0, 0, 6, 8, 3, 1, 0, 0, 15, 22, 15, 4, 1, 0, 0, 36, 68, 52, 24, 5, 1, 0, 0, 91, 198, 191, 100, 35, 6, 1, 0, 0, 232, 586, 651, 425, 170, 48, 7, 1, 0, 0, 603, 1718, 2203, 1656, 820, 266, 63, 8, 1, 0, 0, 1585, 5047, 7285, 6299, 3591, 1435, 392, 80

Offset: 0

Philippe Deléham, Dec 19 2009

Another version of A114586.

			Triangle begins : 1 ; 0,0 ; 1,0,0 ; 1,1,0,0 ; 3,2,1,0,0 ; 6,8,3,1,0,0 ; ...

Sum_{k, 0<=k<=n} T(n,k)*x^k = A099323(n+1), A126120(n), A005043(n), A000957(n+1), A117641(n) for x = -2, -1, 0, 1, 2 respectively.

A171388 Expansion of the first column of triangle T_(2,x), T_(x,y) defined in A039599; T_(2,0)= A126075, T_(2,1)= A038622, T_(2,2)= A039598, T_(2,3)= A124733, T_(2,4)= A124575.

Original entry on oeis.org

1, 2, 0, 5, 0, 0, 12, 1, 0, 0, 30, 4, 1, 0, 0, 74, 17, 4, 1, 0, 0, 185, 56, 21, 4, 1, 0, 0, 460, 185, 74, 26, 4, 1, 0, 0

Offset: 0

Philippe Deléham, Dec 07 2009

			Triangle begins:
   1;
   2,  0;
   5,  0, 0;
  12,  1, 0, 0;
  30,  4, 1, 0, 0;
  74, 17, 4, 1, 0, 0;
  ...

Cf. A000108, A171368, A171380.

Sum_{k=0..n} T(n,k)*x^k = A054341(n), A005773(n+1), A000108(n+1), A007317(n), A033543(n) for x = 0, 1, 2, 3, 4 respectively.

cp's OEIS Frontend

A171839 Equal to A171368*A007318.

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