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A110576 Sequence is {a(0,n)}, where a(m,0)=1, a(m,n) = a(m,n-1) + a(m-1,n), a(0,n+1) = a(n,n). 5
1, 1, 2, 7, 29, 132, 648, 3407, 19109, 113946, 719896, 4802318, 33712717, 248285282, 1912928549, 15379305080, 128729241725, 1119519156562, 10097102345993, 94285391374568, 910145431036423, 9069616636456648, 93179779321299479 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Equals eigensequence of triangle A100100. - Gary W. Adamson, Feb 02 2009

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..570

FORMULA

a(0, n+1) = Sum_{k=0..n} binomial(2*n-k-1, n-1)*a(0, k), with a(0,0) =1.

EXAMPLE

a(0,n): 1,1,2,7,29

a(1,n): 1,2,4,11

a(2,n): 1,3,7,18

a(3,n): 1,4,11,29

Since a(3,3) = 29, a(0,4) also is 29.

MATHEMATICA

a[0, 0] := 1; a[0, 1] := 1; a[0, n_] := a[0, n] = Sum[Binomial[2*n - k - 3, n - 2]*a[0, k], {k, 0, n - 1}]; Table[a[0, n], {n, 0, 50}] (* G. C. Greubel, Aug 31 2017 *)

CROSSREFS

Cf. A110577, A110578, A110579, A110580.

Cf. A100100 [From Gary W. Adamson, Feb 02 2009]

Sequence in context: A132262 A007852 A232971 * A074600 A064641 A183608

Adjacent sequences:  A110573 A110574 A110575 * A110577 A110578 A110579

KEYWORD

easy,nonn

AUTHOR

Leroy Quet, Jul 28 2005

EXTENSIONS

More terms from Ryan Propper, Sep 25 2005

STATUS

approved

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Last modified February 23 13:10 EST 2018. Contains 299581 sequences. (Running on oeis4.)