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A110321 A Jacobsthal number related number triangle. 3
1, 1, 1, 6, 2, 1, 30, 18, 3, 1, 264, 120, 36, 4, 1, 2520, 1320, 300, 60, 5, 1, 30960, 15120, 3960, 600, 90, 6, 1, 428400, 216720, 52920, 9240, 1050, 126, 7, 1, 6894720, 3427200, 866880, 141120, 18480, 1680, 168, 8, 1, 123742080, 62052480, 15422400, 2600640 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Row sums are A110322. Diagonal sums are A110323. Inverse is A110324.

LINKS

Table of n, a(n) for n=0..48.

FORMULA

Number triangle T(n, k)=if(k<=n, n!*J(n-k+1)/k!), 0) where J(n)=A001045(n); Column k has e.g.f. (x^k/k!)/(1-x-2x^2);

EXAMPLE

Rows begin

1;

1,1;

6,2,1;

30,18,3,1;

264,120,36,4,1;

2520,1320,300,60,5,1;

30960,15120,3960,600,6,1;

CROSSREFS

Sequence in context: A289711 A101818 A138186 * A111553 A141473 A068931

Adjacent sequences:  A110318 A110319 A110320 * A110322 A110323 A110324

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Jul 20 2005

STATUS

approved

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Last modified June 14 14:21 EDT 2021. Contains 345025 sequences. (Running on oeis4.)