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A048504

a(n) = T(n,n), array T given by A048494.

1, 2, 7, 28, 101, 326, 967, 2696, 7177, 18442, 46091, 112652, 270349, 638990, 1490959, 3440656, 7864337, 17825810, 40108051, 89653268, 199229461, 440401942, 968884247, 2122317848, 4630511641

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OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, signature (8, -25, 38, -28, 8).

FORMULA

a(n) = n*(n-1)*2^(n-1) + n + 1. - Ralf Stephan, Jan 15 2004

G.f.: (-1 - 4*x^4 + 16*x^3 - 16*x^2 + 6*x)/((x-1)^2*(2*x-1)^3). - Maksym Voznyy (voznyy(AT)mail.ru), Aug 13 2009

E.g.f.: 2*exp(2*x)*x^2 + exp(x)*(1 + x). - Stefano Spezia, Sep 06 2025

MATHEMATICA

Table[n(n-1)2^(n-1)+n+1, {n, 0, 30}] (* or *) LinearRecurrence[{8, -25, 38, -28, 8}, {1, 2, 7, 28, 101}, 30] (* Harvey P. Dale, Jul 29 2021 *)

PROG

(Magma) [n*(n-1)*2^(n-1) + n + 1 : n in [0..30]]; // Vincenzo Librandi, Sep 25 2011

CROSSREFS

Sequence in context: A155581 A391688 A349329 * A092465 A099488 A289607

Adjacent sequences: A048501 A048502 A048503 * A048505 A048506 A048507

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

STATUS

approved

URL: https://oeis.org/A048504

⇱ A048504 - OEIS