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A155648 10^n+6^n-1^n 20
1, 15, 135, 1215, 11295, 107775, 1046655, 10279935, 101679615, 1010077695, 10060466175, 100362797055, 1002176782335, 10013060694015, 100078364164095, 1000470184984575, 10002821109907455, 100016926659444735 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (17,-76,60).

FORMULA

G.f.: 1/(1-10*x)+1/(1-6*x)-1/(1-x). E.g.f.: e^(10*x)+e^(6*x)-e^x.

a(n)=16*a(n-1)-60*a(n-2)-45 with a(0)=1, a(1)=15 - Vincenzo Librandi, Jul 21 2010

a(0)=1, a(1)=15, a(2)=135, a(n)=17*a(n-1)-76*a(n-2)+60*a(n-3). - Harvey P. Dale, Mar 30 2014

MATHEMATICA

Table[10^n+6^n-1, {n, 0, 20}] (* or *) LinearRecurrence[{17, -76, 60}, {1, 15, 135}, 20] (* Harvey P. Dale, Mar 30 2014 *)

PROG

(PARI) a(n)=10^n+6^n-1 \\ Charles R Greathouse IV, Sep 24 2015

CROSSREFS

Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647.

Sequence in context: A022643 A125378 A254409 * A126536 A299033 A030056

Adjacent sequences:  A155645 A155646 A155647 * A155649 A155650 A155651

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Jan 31 2009

STATUS

approved

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Last modified March 25 04:25 EDT 2019. Contains 321457 sequences. (Running on oeis4.)