A083053 Antidiagonal sums of table A083050.

1, 6, 16, 35, 66, 114, 185, 290, 443, 661, 976, 1425, 2064, 2972, 4259, 6083, 8667, 12327, 17506, 24834, 35203, 49869, 70615, 99959, 141462, 200159, 283173, 400577, 566616, 801435, 1133522, 1603168, 2267350, 3206653, 4535033, 6413648, 9070416

Offset

0,2

Links

Table of n, a(n) for n=0..36.

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 = sqrt(2).

Crossrefs

Cf. A083044, A083047, A083050, A083052.

Sequence in context: A236773 A131820 A266677 * A083046 A192749 A160997

Adjacent sequences: A083050 A083051 A083052 * A083054 A083055 A083056

Keyword

nonn

Author

Paul D. Hanna, Apr 18 2003

Status

approved