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A048478 a(n) = T(6,n), array T given by A048472. 1
1, 8, 29, 85, 225, 561, 1345, 3137, 7169, 16129, 35841, 78849, 172033, 372737, 802817, 1720321, 3670017, 7798785, 16515073, 34865153, 73400321, 154140673, 322961409, 675282945, 1409286145, 2936012801, 6106906625, 12683575297, 26306674689, 54492397569 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

n-th difference of a(n), a(n-1), ..., a(0) is (7, 14, 21, ...).

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

a(n) = 7*n * 2^(n-1) + 1.

a(n) = 5*a(n-1)-8*a(n-2)+4*a(n-3) for n>2. G.f.: (1+3*x-3*x^2) / ((1-x)*(1-2*x)^2). - Colin Barker, Feb 18 2016

PROG

(MAGMA) [7*n * 2^(n-1) + 1: n in [0..30]]; // Vincenzo Librandi, Sep 23 2011

(PARI) Vec((1+3*x-3*x^2)/((1-x)*(1-2*x)^2) + O(x^40)) \\ Colin Barker, Feb 18 2016

CROSSREFS

Sequence in context: A046664 A055536 A131438 * A001360 A116952 A261478

Adjacent sequences:  A048475 A048476 A048477 * A048479 A048480 A048481

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified July 29 10:05 EDT 2016. Contains 275165 sequences.