A124791 Row sums of number triangle A124790.

1, 1, 1, 3, 5, 13, 29, 73, 181, 465, 1205, 3171, 8425, 22597, 61073, 166195, 454949, 1251985, 3461573, 9611191, 26787377, 74916661, 210178457, 591347989, 1668172841, 4717282753, 13369522249, 37970114703, 108045430901

Offset: 0

Author

Paul Barry, Nov 07 2006

Keywords

• nonn

Comments

Row sums of a generalized Motzkin triangle.

Apparently the Motzkin transform of A105811, after the sign of A105811(1) is negated. - R. J. Mathar, Dec 11 2008

Hankel transform is A159964. - Paul Barry, Apr 28 2009

Links

• Sela Fried, Even-up words and their variants, arXiv:2505.14196 [math.CO], 2025. See p. 11.

Crossrefs

Cf. A105811, A124790, A159964.

Formula

Conjecture: (n+1)*a(n) +(-n+2)*a(n-1) +(-5*n+7)*a(n-2) +3*(-n+2)*a(n-3) = 0. - R. J. Mathar, Dec 02 2014