The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A346748

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A346748

E.g.f.: exp( (x * exp(-x) + sinh(x)) / 2 ).
(history; published version)

#8 by Alois P. Heinz at Tue Nov 30 16:04:58 EST 2021

STATUS

editing

approved

#7 by Alois P. Heinz at Tue Nov 30 16:03:23 EST 2021

EXTENSIONS

Typo in a(26) corrected by Georg Fischer, Nov 30 2021

STATUS

proposed

editing

Discussion

Tue Nov 30

16:03

Alois P. Heinz: cut & paste error ... 1 digit was missing ...

#6 by Georg Fischer at Tue Nov 30 15:59:17 EST 2021

STATUS

editing

proposed

#5 by Georg Fischer at Tue Nov 30 15:58:56 EST 2021

DATA

1, 1, 0, 0, 4, -1, -9, 103, -132, -535, 7731, -25117, -18072, 1078215, -6917039, 16312667, 186611792, -2454241183, 14370311311, 1436259867, -934228834216, 10658996229479, -54990712418263, -185381404760729, 7270919988375200, -80130195880201583, 39199237221371967391992372213719679

EXTENSIONS

a(26) corrected by Georg Fischer, Nov 30 2021

STATUS

approved

editing

#4 by Susanna Cuyler at Sun Aug 01 16:40:10 EDT 2021

STATUS

proposed

approved

#3 by Ilya Gutkovskiy at Sun Aug 01 16:18:35 EDT 2021

STATUS

editing

proposed

#2 by Ilya Gutkovskiy at Sun Aug 01 15:39:11 EDT 2021

NAME

allocated for Ilya Gutkovskiy

E.g.f.: exp( (x * exp(-x) + sinh(x)) / 2 ).

DATA

OFFSET

0,5

COMMENTS

Exponential transform of A001057.

FORMULA

a(0) = 1; a(n) = Sum_{k=1..n} binomial(n-1,k-1) * A001057(k) * a(n-k).

MATHEMATICA

nmax = 26; CoefficientList[Series[Exp[(x Exp[-x] + Sinh[x])/2], {x, 0, nmax}], x] Range[0, nmax]!

a[0] = 1; a[n_] := a[n] = Sum[(-1)^(k + 1) Binomial[n - 1, k - 1] Floor[(k + 1)/2] a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 26}]

CROSSREFS

Cf. A001057, A003724, A003725, A346746, A346747.

KEYWORD

allocated

sign

AUTHOR

Ilya Gutkovskiy, Aug 01 2021

STATUS

approved

editing

#1 by Ilya Gutkovskiy at Sun Aug 01 15:39:11 EDT 2021

NAME

allocated for Ilya Gutkovskiy

KEYWORD

allocated

STATUS

approved