A127804 a(2n)=4^n, a(4*n+3)-(2^(4*n+3)+2^(2*n+1))=a(n).

1, 3, 4, 11, 16, 36, 64, 139, 256, 528, 1024, 2084, 4096, 8256, 16384, 32907, 65536, 131328, 262144, 524816, 1048576, 2098176, 4194304, 8390692, 16777216, 33558528, 67108864, 134225984, 268435456

Offset

0,2

Comments

Row sums of number triangle A127803.

Links

R. J. Mathar, Table of n, a(n) for n = 0..61

Formula

Conjecture: a(n) = 1 + A187767(n+1). - Andrew Howroyd, Jun 02 2017

Maple

A127804 := proc(n)
    add( A127803(n, k), k=0..n) ;
end proc: # R. J. Mathar, Feb 12 2024

Mathematica

rows = 30;
A[n_, k_] := If[k <= n, If[n <= 2 k, 1/(2*2^n - 1), 0], 0];
T = Table[A[n, k], {n, 0, rows-1}, {k, 0, rows-1}] // Inverse;
a[n_] := T[[n+1]] // Total;
Table[a[n], {n, 0, rows-1}] (* Jean-François Alcover, Jul 03 2018 *)

Crossrefs

Cf. A127803, A187767.

Sequence in context: A001641 A374712 A007382 * A027306 A239024 A026676

Adjacent sequences: A127801 A127802 A127803 * A127805 A127806 A127807

Keyword

nonn

Author

Paul Barry, Jan 29 2007

Status

approved