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A323971 Number of 7 X n integer matrices (m_{i,j}) such that m_{1,1}=0, m_{7,n}=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2. 2
1, 15, 155, 1332, 8342, 41586, 174844, 642815, 2117690, 6362806, 17671203, 45844681, 112047610, 259796057, 574776968, 1219349012, 2490738686, 4916477305, 9406990883, 17494038498, 31695618318, 56063910644, 96993880940, 164397619093, 273384891666, 446635565576 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

G.f.: -(5*x^15 -69*x^14 +443*x^13 -1750*x^12 +4744*x^11 -9317*x^10 +13630*x^9 -15026*x^8 +12430*x^7-7561*x^6 +3263*x^5-823*x^4 +127*x^3 +35*x^2+1) / (x-1)^15.

CROSSREFS

Row (or column) 7 of array in A323846.

Sequence in context: A157380 A098685 A223995 * A006096 A099915 A110557

Adjacent sequences:  A323968 A323969 A323970 * A323972 A323973 A323974

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Feb 09 2019

STATUS

approved

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Last modified March 21 20:35 EDT 2019. Contains 321382 sequences. (Running on oeis4.)