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A020527 2nd Bernoulli polynomial evaluated at powers of 2 (multiplied by 6). 1
1, 13, 73, 337, 1441, 5953, 24193, 97537, 391681, 1569793, 6285313, 25153537, 100638721, 402604033, 1610514433, 6442254337, 25769410561, 103078428673, 412315287553, 1649264295937, 6597063475201 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..170

Index entries for sequences related to Bernoulli numbers.

Index entries for linear recurrences with constant coefficients, signature (7,-14,8).

FORMULA

a(n) = 6*(4^n - 2^n) + 1. - Ralf Stephan, Apr 06 2004

G.f.: (-1 - 6*x + 4*x^2) / ((x-1)*(2*x-1)*(4*x-1)). - R. J. Mathar, Jun 11 2013

MAPLE

seq(bernoulli(2, 2^i), i=0..24);

PROG

(MAGMA) [6 * (4^n - 2^n) + 1: n in [0..40]]; // Vincenzo Librandi, Apr 25 2011

CROSSREFS

Sequence in context: A107963 A006230 A066110 * A146618 A220414 A139157

Adjacent sequences:  A020524 A020525 A020526 * A020528 A020529 A020530

KEYWORD

nonn

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified July 4 16:24 EDT 2020. Contains 335448 sequences. (Running on oeis4.)