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A144442 Triangle read by rows: T(n,1)=T(n,n)=1 and T(n,k) = (1+5n-5k)*T(n-1,k-1) +(5k-4)*T(n-1,k) + 5*T(n-2,k-1) while 1<k<n. 0
1, 1, 1, 1, 17, 1, 1, 118, 118, 1, 1, 729, 2681, 729, 1, 1, 4400, 41745, 41745, 4400, 1, 1, 26431, 555240, 1349245, 555240, 26431, 1, 1, 158622, 6816846, 33456685, 33456685, 6816846, 158622, 1, 1, 951773, 80034743, 715321156, 1411926995, 715321156 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Row sums are: s(n) = 1, 2, 19, 238, 4141, 92292, 2512589, 80864308, 3004542341, 126595099862,.. with s(n) +(8-5n)*s(n-1) -5*s(n-2)=0.

LINKS

Table of n, a(n) for n=1..42.

EXAMPLE

1;

1, 1;

1, 17, 1;

1, 118, 118, 1;

1, 729, 2681, 729, 1;

1, 4400, 41745, 41745, 4400, 1;

1, 26431, 555240, 1349245, 555240, 26431, 1;

1, 158622, 6816846, 33456685, 33456685, 6816846, 158622, 1;

1, 951773, 80034743, 715321156, 1411926995, 715321156, 80034743, 951773, 1;

1, 5710684, 915439111, 13960299759, 48416100376, 48416100376, 13960299759, 915439111, 5710684, 1;

MATHEMATICA

Clear[A, m, n, j, k] m = j = 5; A[n_, 1] := 1; A[n_, n_] := 1; A[n_, k_] := (m*n - m*k + 1)A[n - 1, k - 1] + (m*k - (m - 1))A[n - 1, k] + j*A[n - 2, k - 1]; a = Table[A[n, k], {n, 10}, {k, n}]; Flatten[a]

CROSSREFS

Sequence in context: A229956 A157274 A218115 * A157151 A176794 A176244

Adjacent sequences:  A144439 A144440 A144441 * A144443 A144444 A144445

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula and Gary W. Adamson, Oct 05 2008

STATUS

approved

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Last modified September 27 12:30 EDT 2020. Contains 337380 sequences. (Running on oeis4.)