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

0,5

Comments

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

Links

Table of n, a(n) for n=0..54.

Example

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.

Sequence in context: A130191 A054651 A292323 * A140589 A331955 A185209

Adjacent sequences: A059717 A059718 A059719 * A059721 A059722 A059723

Keyword

nonn,tabl,nice

Author

N. J. A. Sloane, Feb 09 2001

Status

approved