A383415 Antidiagonal sums of A383414.

7, 43, 195, 811, 3283, 13179, 52771, 211147, 844659, 3378715, 13514947, 54059883, 216239635, 864958651, 3459834723, 13839339019, 55357356211, 221429424987, 885717700099, 3542870800555, 14171483202387, 56685932809723, 226743731239075, 906974924956491, 3627899699826163

Offset: 0

Author

Stefano Spezia, Apr 26 2025

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (6,-9,4).

Crossrefs

Cf. A383414.

Programs

Mathematica

a[n_]:=(29*4^(n+1) - 24*n - 53)/9; Array[a,25,0]

Formula

a(n) = (29*4^(n+1) - 24*n - 53)/9.

G.f.: (7 + x)/((1 - 4*x)*(1 - x)^2).

E.g.f.: exp(x)*(116*exp(3*x) - 24*x - 53)/9.