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A048474 a(n) = 3*n*2^(n-1) + 1. 4
1, 4, 13, 37, 97, 241, 577, 1345, 3073, 6913, 15361, 33793, 73729, 159745, 344065, 737281, 1572865, 3342337, 7077889, 14942209, 31457281, 66060289, 138412033, 289406977, 603979777, 1258291201, 2617245697, 5435817985 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Original name: a(n) = T(2, n), array T given by A048472.

Binomial transform of A008486. - Paul Barry, Jul 09 2003

Row sums of triangle A134232. - Gary W. Adamson, Oct 14 2007

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5, -8, 4).

FORMULA

From Harvey P. Dale, Jan 29 2012: (Start)

a(n) = 5*a(n-1) - 8*a(n-2) + 4*a(n-3); a(0)=1, a(1)=4, a(2)=13.

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

MATHEMATICA

Table[3n 2^(n-1)+1, {n, 0, 30}] (* or *) LinearRecurrence[{5, -8, 4}, {1, 4, 13}, 30] (* Harvey P. Dale, Jan 29 2012 *)

PROG

(MAGMA) [3*n * 2^(n-1) + 1: n in [0..30]]; // Vincenzo Librandi, Sep 23 2011

(PARI) a(n)=3*n*2^(n-1)+1 \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

n-th difference of a(n), a(n-1), ..., a(0) is (3, 6, 9, ...).

Cf. A134232.

Sequence in context: A299111 A324250 A226866 * A054761 A244197 A300985

Adjacent sequences:  A048471 A048472 A048473 * A048475 A048476 A048477

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

EXTENSIONS

Better description from Paul Barry, Jul 09 2003

STATUS

approved

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Last modified August 5 18:00 EDT 2021. Contains 346488 sequences. (Running on oeis4.)