A323970 Number of 6 X n integer matrices (m_{i,j}) such that m_{1,1}=0, m_{6,n}=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2.

1, 10, 85, 632, 3423, 14795, 54219, 174844, 508484, 1357051, 3367166, 7846507, 17311702, 36401032, 73344164, 142259423, 266651159, 484610624, 856389171, 1475218962, 2482510921, 4088870385, 6602746625, 10468982846, 16320069070, 25043533065, 37869646820

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Formula

G.f.: -(4*x^13 -47*x^12 +253*x^11 -822*x^10 +1788*x^9 -2728*x^8 +2958*x^7 -2253*x^6 +1145*x^5 -308*x^4 +21*x^3 +33*x^2 -3*x+1) / (x-1)^13.

Crossrefs

Row (or column) 6 of array in A323846.

Sequence in context: A104128 A345895 A014341 * A253009 A291389 A081903

Adjacent sequences: A323967 A323968 A323969 * A323971 A323972 A323973

Keyword

nonn,easy

Author

Alois P. Heinz, Feb 09 2019

Status

approved