A249304 Number of zeros in row n of triangle A249133.

0, 0, 1, 1, 3, 5, 5, 3, 7, 13, 13, 11, 13, 15, 13, 7, 15, 29, 29, 27, 29, 31, 29, 23, 29, 39, 37, 31, 33, 35, 29, 15, 31, 61, 61, 59, 61, 63, 61, 55, 61, 71, 69, 63, 65, 67, 61, 47, 61, 87, 85, 79, 81, 83, 77, 63, 73, 91, 85, 71, 73, 75, 61, 31, 63, 125, 125

Offset: 0

Author

Reinhard Zumkeller, Nov 14 2014

Keywords

• nonn

Comments

a(n) = (number of even terms in row n of triangle A249095) = A023416(A249184(n)) = A055641(A249183(n)).

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A249133, A048967, A249095, A023416, A055641, A249183, A249184.

Programs

Haskell

a249304 n = if n == 0 then 0 else a048967 n + a048967 (n - 1)

Mathematica

Join[{0}, Plus @@@ Partition[Table[n + 1 - 2^DigitCount[n, 2, 1], {n, 0, 100}], 2, 1]] (* Amiram Eldar, Jul 28 2023 *)

Formula

a(n) = A048967(n) + A048967(n-1) for n > 0.