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A347431 Antidiagonal sums of A047920. 2
1, 1, 2, 7, 29, 141, 832, 5729, 45217, 402359, 3985942, 43500339, 518515997, 6702036193, 93361811396, 1394334141349, 22223762217953, 376516856157771, 6756666799667818, 128025250352208551, 2554170591729180733, 53517087513085077221, 1174963644698963576488 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..450

FORMULA

a(n) = Sum_{k=0..floor(n/2)} A047920(n-k,k).

a(n) mod 2 = A152822(n).

MAPLE

b:= proc(n, k) option remember;

     `if`(k=0, n!, b(n, k-1)-b(n-1, k-1))

    end:

a:= n-> add(b(n-k, k), k=0..n/2):

seq(a(n), n=0..23);

CROSSREFS

Cf. A047920, A152822.

Sequence in context: A018977 A190736 A265000 * A030849 A185109 A030973

Adjacent sequences:  A347428 A347429 A347430 * A347432 A347433 A347434

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 01 2021

STATUS

approved

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Last modified January 26 19:15 EST 2022. Contains 350599 sequences. (Running on oeis4.)