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

0,1

Links

Table of n, a(n) for n=0..24.

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

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.

Mathematica

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

Crossrefs

Cf. A383414.

Sequence in context: A351936 A193697 A027176 * A244200 A334241 A079925

Adjacent sequences: A383412 A383413 A383414 * A383416 A383417 A383418

Keyword

nonn,easy

Author

Stefano Spezia, Apr 26 2025

Status

approved