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A322769 Main diagonal of array in A322765. 3
1, 4, 92, 5133, 537813, 91914202, 23456071495, 8411911367949, 4055497274641836, 2540939492105630071, 2014322292658946180922, 1977121111959534634757742, 2360026677940190304494287625, 3374607252811005168634470847052, 5706308288951111509370981721908854 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

D. E. Knuth, The Art of Computer Programming, Vol. 4A, Table A-1, page 778.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..200

FORMULA

a(n) = A346500(2n,n). - Alois P. Heinz, Jul 20 2021

MAPLE

b:= proc(n) option remember; `if`(n=0, 1,

      add(b(n-j)*binomial(n-1, j-1), j=1..n))

    end:

A:= proc(n, k) option remember; `if`(n<k, A(k, n),

     `if`(k=0, b(n), (A(n+1, k-1)+add(A(n-k+j, j)

      *binomial(k-1, j), j=0..k-1)+A(n, k-1))/2))

    end:

a:= n-> A(2*n, n):

seq(a(n), n=0..15);  # Alois P. Heinz, Jul 21 2021

CROSSREFS

Cf. A322765, A346500.

Sequence in context: A113252 A003737 A265238 * A012071 A012217 A012135

Adjacent sequences:  A322766 A322767 A322768 * A322770 A322771 A322772

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 30 2018

STATUS

approved

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Last modified January 27 11:16 EST 2022. Contains 350607 sequences. (Running on oeis4.)