A059720 Triangle T(n,k), 0<=k<=n, formed from coefficients when formula for n-th diagonal of triangle in A059718 is written as a sum of binomial coefficients.

1, 0, 1, 0, 2, 1, 0, 5, 6, 2, 0, 15, 29, 20, 5, 0, 55, 148, 158, 80, 16, 0, 239, 818, 1185, 910, 366, 61, 0, 1199, 4964, 9094, 9392, 5696, 1904, 272, 0, 6810, 32989, 73026, 94833, 77011, 38719, 11080, 1385, 0, 43108, 238931, 619904, 970152, 988040, 663904, 285424, 71424, 7936

Offset: 0

Author

N. J. A. Sloane, Feb 09 2001

Keywords

• nonn
• tabl
• nice

Comments

I would very much like to find a formula for this - N. J. A. Sloane.

Examples

			1; 0,1; 0,2,1; 0,5,6,2; 0,15,29,20,5; ... E.g. the n=3 diagonal in A059718 has the formula b(m) = 0 + 5*m + 6*C(m,2) + 2*C(m,3) and so the third row here is 0, 5, 6, 2.
		

Crossrefs

Interesting because it connects a mysterious sequence (A059219, the left edge) with a known sequence (A000111, the right edge). Cf. A059724, A059725, A059726.