A127238 - OEIS

A127238

Diagonal sums of Thue-Morse binomial triangle A127236.

1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 3, 6, 4, 4, 5, 4, 3, 4, 3, 6, 8, 6, 6, 6, 9, 10, 8, 8, 12, 7, 7, 7, 7, 7, 6, 8, 13, 12, 8, 7, 12, 8, 13, 14, 12, 15, 13, 12, 12, 13, 14, 13, 12, 15, 12, 12, 12, 15, 14, 17, 17, 22, 17, 22, 14, 15, 19, 14, 16, 20, 16, 17, 18, 17

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OFFSET

0,3

LINKS

Amiram Eldar, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = Sum_{k=0..floor(n/2)} A010060(binomial(n-k,k)).

MATHEMATICA

a[n_] := Sum[ThueMorse[Binomial[n-k, k]], {k, 0, Floor[n/2]}]; Array[a, 100, 0] (* Amiram Eldar, Dec 28 2025 *)

CROSSREFS

Cf. A010060, A127236.

Sequence in context: A092670 A210528 A120450 * A072114 A090621 A173711