A323969 Number of 5 X n integer matrices (m_{i,j}) such that m_{1,1}=0, m_{5,n}=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2.

1, 6, 41, 266, 1247, 4657, 14795, 41586, 106067, 249814, 550334, 1145148, 2268140, 4302757, 7857830, 13873160, 23763590, 39612078, 64424311, 102459670, 159655885, 244167521, 367041525, 543056454, 791755709, 1138709134, 1617041716, 2269272856, 3149514786

Offset

0,2

Links

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

Formula

G.f.: -(3*x^11 -29*x^10 +125*x^9 -314*x^8 +501*x^7 -517*x^6 +323*x^5 -84*x^4 -20*x^3 +30*x^2 -5*x+1) / (x-1)^11.

Crossrefs

Row (or column) 5 of array in A323846.

Sequence in context: A320090 A266425 A194781 * A252980 A274997 A015551

Adjacent sequences: A323966 A323967 A323968 * A323970 A323971 A323972

Keyword

nonn,easy

Author

Alois P. Heinz, Feb 09 2019

Status

approved