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A081033 6th binomial transform of the periodic sequence (1,7,1,1,7,1...). 4
1, 13, 121, 997, 7729, 57853, 423721, 3059797, 21887329, 155555053, 1100604121, 7762822597, 54632726929, 383893932253, 2694581744521, 18898693305397, 132473958606529, 928233237589453, 6502210299844921, 45538360282508197 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (12,-35).

FORMULA

a(n) = 7*a(n-1)+6*5^(n-1).

a(n) = 4*7^n-3*5^n.

G.f.: (1+x)/((1-5*x)*(1-7*x)). - Vincenzo Librandi, Aug 06 2013

MATHEMATICA

CoefficientList[Series[(1 + x) / ((1 - 5 x) (1 - 7 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *)

LinearRecurrence[{12, -35}, {1, 13}, 30] (* Harvey P. Dale, Aug 18 2015 *)

PROG

(MAGMA) [4*7^n-3*5^n: n in [0..25]]; // Vincenzo Librandi, Aug 06 2013

CROSSREFS

Cf. A080134, A080962.

Sequence in context: A054962 A297394 A014918 * A091111 A196921 A317483

Adjacent sequences:  A081030 A081031 A081032 * A081034 A081035 A081036

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Mar 03 2003

STATUS

approved

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Last modified September 15 20:42 EDT 2019. Contains 327087 sequences. (Running on oeis4.)