A118403 Unsigned row sums of triangle A118401; a(n) = A118402(n^2-n+2), where A118402 is the row sums of triangle A118400.

1, 1, 3, 5, 9, 15, 23, 33, 45, 59, 75, 93, 113, 135, 159, 185, 213, 243, 275, 309, 345, 383, 423, 465, 509, 555, 603, 653, 705, 759, 815, 873, 933, 995, 1059, 1125, 1193, 1263, 1335, 1409, 1485, 1563, 1643, 1725, 1809, 1895, 1983, 2073, 2165, 2259, 2355

Offset

0,3

Links

Muniru A Asiru, Table of n, a(n) for n = 0..10000

Formula

G.f.: A(x) = (1-2*x+2*x^2)*(1+x^2)/(1-x)^3.

a(n) = A027688(n-2) for n > 1. - Jon Maiga, Jan 02 2019

Maple

seq(coeff(series((1-2*x+2*x^2)*(1+x^2)/(1-x)^3, x, n+1), x, n), n = 0 .. 55); # Muniru A Asiru, Jan 02 2019

Mathematica

Join[{1, 1}, Table[n^2 + n + 3, {n, 0, 47}]] (* Jon Maiga, Jan 02 2019 *)

Prog

(PARI) {a(n)=polcoeff((1-2*x+2*x^2)*(1+x^2)/(1-x+x*O(x^n))^3, n, x)}

Crossrefs

Cf. A027688, A118401, A118402.

Sequence in context: A022940 A025207 A027688 * A033498 A147493 A178961

Adjacent sequences: A118400 A118401 A118402 * A118404 A118405 A118406

Keyword

nonn

Author

Paul D. Hanna, Apr 27 2006

Status

approved