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A027540 Second diagonal of A027537. 4
3, 16, 55, 156, 399, 960, 2223, 5020, 11143, 24432, 53079, 114492, 245535, 524032, 1113823, 2358972, 4980375, 10485360, 22019655, 46136860, 96468463, 201326016, 419429775, 872414556, 1811938599, 3758095600, 7784627383, 16106126460, 33285995583, 68719475712 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 2..1000

FORMULA

Numerators of sequence a[ n, n-1 ] in (a[ i, j ])^2 where a[ i, j ] = A(i, j)/i! if j <= i, 0 if j > i.

a(n) = (n+1)*(2^n - n - 1). - Vladeta Jovovic, Aug 18 2002

G.f.: x^2*(-3+5*x)/((2*x-1)^2*(x-1)^3). - Maksym Voznyy (voznyy(AT)mail.ru), Aug 14 2009; corrected by R. J. Mathar, Sep 16 2009

a(n) = Sum_{k=0..n} Sum_{i=0..n} (i-k) * C(n-k,i-2). - Wesley Ivan Hurt, Sep 19 2017

MATHEMATICA

Table[(n + 1) (2^n - n - 1), {n, 2, 35}] (* Vincenzo Librandi, Sep 04 2017 *)

PROG

(MAGMA) [(n+1)*(2^n-n-1): n in [2..30]]; // Vincenzo Librandi, Sep 04 2017

CROSSREFS

Cf. A027537.

Sequence in context: A055194 A190730 A173052 * A099851 A005550 A210323

Adjacent sequences:  A027537 A027538 A027539 * A027541 A027542 A027543

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard

EXTENSIONS

More terms from Vladeta Jovovic, Aug 18 2002

STATUS

approved

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Last modified June 19 12:57 EDT 2019. Contains 324222 sequences. (Running on oeis4.)