The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A355120

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A355120

E.g.f. A(x) satisfies A(x) = 1 + log(1+x) * A(2 * log(1+x)).
(history; published version)

#8 by Michael De Vlieger at Mon Jun 20 08:36:10 EDT 2022

STATUS

proposed

approved

#7 by Seiichi Manyama at Mon Jun 20 07:54:27 EDT 2022

STATUS

editing

proposed

#6 by Seiichi Manyama at Mon Jun 20 07:52:27 EDT 2022

CROSSREFS

Cf. A354728, A355084, A355096, A355133.

#5 by Seiichi Manyama at Mon Jun 20 06:45:08 EDT 2022

DATA

1, 1, 3, 26, 654, 45084, 7934924, 3381663872, 3365978050576, 7632454575648720, 38732162420625498608, 434139952882119137261024, 10640704036253473615712677216, 565765176687479152385624223741568, 64834956096893473256448986077914291328

#4 by Seiichi Manyama at Mon Jun 20 03:35:58 EDT 2022

FORMULA

E.g.f. A(x) satisfies: A(exp(x) - 1) = 1 + x*A(2*x).

a(0) = 1; a(n) = Sum_{k=1..n} k * 2^(k-1) * Stirling1(n,k) * a(k-1).

#3 by Seiichi Manyama at Mon Jun 20 03:35:08 EDT 2022

PROG

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*2^(j-1)*stirling(i, j, 1)*v[j])); v;

#2 by Seiichi Manyama at Mon Jun 20 03:34:28 EDT 2022

NAME

allocated for Seiichi Manyama

E.g.f. A(x) satisfies A(x) = 1 + log(1+x) * A(2 * log(1+x)).

DATA

1, 1, 3, 26, 654, 45084, 7934924, 3381663872, 3365978050576, 7632454575648720, 38732162420625498608, 434139952882119137261024, 10640704036253473615712677216

OFFSET

0,3

CROSSREFS

Cf. A354728, A355084, A355096.

KEYWORD

allocated

nonn

AUTHOR

Seiichi Manyama, Jun 20 2022

STATUS

approved

editing

#1 by Seiichi Manyama at Mon Jun 20 03:34:28 EDT 2022

NAME

allocated for Seiichi Manyama

KEYWORD

allocated

STATUS

approved