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A110323 Diagonal sums of a number triangle related to the Jacobsthal numbers. 1
1, 1, 7, 32, 283, 2643, 32317, 443824, 7115461, 127222805, 2541399091, 55739417376, 1335729425647, 34666455314407, 969419191792633, 29046504524166368, 928541094344685577, 31540972026299055849 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Diagonal sums of number triangle A110321.

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n)=sum{k=0..floor(n/2), (n-k)!*J(n-2k+1)/k!}, J(n)=A001045(n).

MATHEMATICA

J[n_] := (2^n-(-1)^n)/3; a[n_] := Sum[(n-k)!*J[n-2*k+1]/k!, {k, 0, n/2}]; Table[a[n], {n, 0, 17}] (* Jean-Fran├žois Alcover, Oct 08 2016 *)

CROSSREFS

Sequence in context: A177766 A240390 A024093 * A288721 A324412 A175189

Adjacent sequences:  A110320 A110321 A110322 * A110324 A110325 A110326

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 20 2005

STATUS

approved

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Last modified May 9 20:59 EDT 2021. Contains 343746 sequences. (Running on oeis4.)