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A178681 a(n) = 6^n + 6. 2
7, 12, 42, 222, 1302, 7782, 46662, 279942, 1679622, 10077702, 60466182, 362797062, 2176782342, 13060694022, 78364164102, 470184984582, 2821109907462, 16926659444742, 101559956668422, 609359740010502 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (7,-6).

FORMULA

a(n) = 6*(a(n-1)-5), n > 0.

a(n) = 7*a(n-1) - 6*a(n-2).

a(n) = 6*A062394(n-1), n > 0.

G.f.: (7-37*x)/((1-x)*(1-6*x)). - Klaus Brockhaus, Dec 27 2010

a(n) = A000400(n) + 6. - Michel Marcus, Nov 23 2013

E.g.f.: exp(6*x) + 6*exp(x). - G. C. Greubel, Jan 26 2019

MATHEMATICA

LinearRecurrence[{7, -6}, {7, 12}, 41] (* or *) 6^Range[0, 40]+6 (* Harvey P. Dale, Aug 11 2011 *)

PROG

(Magma) [ 6^n+6: n in [0..25] ];

(PARI) for(n=0, 25, print1(6^n+6, ", ")) \\ Edward Jiang, Nov 22 2013

(Sage) [6^n +6 for n in range(25)] # G. C. Greubel, Jan 26 2019

(GAP) List([0..25], n -> 6^n + 6); # G. C. Greubel, Jan 26 2019

CROSSREFS

Cf. A000400, A052934 (first differences).

Sequence in context: A218554 A113499 A335579 * A194264 A192779 A108238

Adjacent sequences: A178678 A178679 A178680 * A178682 A178683 A178684

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Dec 25 2010

STATUS

approved

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Last modified November 29 18:13 EST 2022. Contains 358431 sequences. (Running on oeis4.)