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A321963 Stieltjes generated from the sequence m, m+1, m+2, m+3, .... where m = 4. 1
1, 4, 36, 444, 6636, 114084, 2194596, 46460124, 1070653356, 26650132164, 712373143716, 20355134459004, 619356569885676, 20002325474150244, 683641504802995236, 24662695086736585884, 936845038595867508396, 37388655553571504769924, 1564425694139017014501156 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See A321964 for the definitions.

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) ~ 2^(n + 5/2) * n^(n+3) / (3*exp(n)). - Vaclav Kotesovec, Jan 02 2019

MAPLE

A321963List := proc(len) local S, k, m, cf, ser;

    S := [seq(k+4, k = 0..len)]: m := 1;

    for k from len by -1 to 1 do

        m := 1 - S[k]*x/m od;

    cf := 1/m:

    ser := series(cf, x, len);

    seq(coeff(ser, x, n), n = 0..len-1) end:

A321963List(19);

MATHEMATICA

T[n_, k_] := T[n, k] = If[k == n, n + 1, Sum[T[j + k, k] T[n - j, k + 1], {j, 0, n - k - 1}]]; a[n_] := T[n + 2, 2]/3; Table[a[n], {n, 0, 18}] (* Jean-Fran├žois Alcover, Jul 22 2019, from A127059 *)

CROSSREFS

A000007 (m=0), A001147 (m=1), A000698 (m=2), A167872 (m=3), this sequence (m=4).

a(n) = A127059(n)/3.

Sequence in context: A052700 A167540 A136224 * A307903 A213596 A009533

Adjacent sequences:  A321960 A321961 A321962 * A321964 A321965 A321966

KEYWORD

nonn

AUTHOR

Peter Luschny, Dec 26 2018

STATUS

approved

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Last modified October 28 09:28 EDT 2021. Contains 348327 sequences. (Running on oeis4.)