A083091 Antidiagonal sums of table A083087.

1, 5, 17, 49, 128, 321, 790, 1924, 4664, 11282, 27262, 65843, 158988, 383863, 926761, 2237435, 5401685, 13040863, 31483472, 76007871, 183499282, 443006506, 1069512368, 2582031320, 6233575089, 15049181582, 36331938341, 87713058356

Offset

0,2

Links

Table of n, a(n) for n=0..27.

Formula

a(n) = Sum_{k=0..n} T(k, n-k), where T(n, 0) = floor(n*x/(x-1)) + 1, T(n, k+1) = ceiling(x*T(n, k)), for n>=0, k>=0, with x = 1 + sqrt(2).

Crossrefs

Cf. A083087, A083044, A083047, A083050.

Sequence in context: A273384 A006457 A115981 * A176953 A082753 A000337

Adjacent sequences: A083088 A083089 A083090 * A083092 A083093 A083094

Keyword

nonn

Author

Paul D. Hanna, Apr 22 2003

Status

approved