A062107 Diagonal of table A062104.
0, 1, 3, 10, 30, 90, 270, 810, 2430, 7290, 21870, 65610, 196830, 590490, 1771470, 5314410, 15943230, 47829690, 143489070, 430467210, 1291401630, 3874204890, 11622614670, 34867844010, 104603532030, 313810596090, 941431788270
Offset: 1
Keywords
Links
- Index entries for linear recurrences with constant coefficients, signature (3).
Crossrefs
Except for initial terms, same as A005052.
Programs
-
Maple
[seq(ChessPawnTriangle(j,j),j=1..50)];
Formula
a(n) = 10*3^(n-4) for n >= 4.
From Paul Barry, Oct 15 2004: (Start)
G.f.: x^2(1+x^2)/(1-3x);
a(n) = Sum_{k=0..n-2} 3^(n-k-2)binomial(1, k/2)(1+(-1)^k)/2. (End)