A347431 Antidiagonal sums of A047920.

1, 1, 2, 7, 29, 141, 832, 5729, 45217, 402359, 3985942, 43500339, 518515997, 6702036193, 93361811396, 1394334141349, 22223762217953, 376516856157771, 6756666799667818, 128025250352208551, 2554170591729180733, 53517087513085077221, 1174963644698963576488

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 * A355254 A030849 A185109

Adjacent sequences: A347428 A347429 A347430 * A347432 A347433 A347434

Keyword

nonn

Author

Alois P. Heinz, Sep 01 2021

Status

approved