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A166913 a(n) = 20*a(n-1) - 64*a(n-2) - 150 for n > 2; a(0) = 357, a(1) = 14450, a(2) = 221650. 10
357, 14450, 221650, 3508050, 55975250, 894989650, 14317376850, 229068199250, 3665051866450, 58640672576850, 938250132084050, 15011999596762450, 240191983481869650, 3843071695444596050, 61489146966052263250 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Related to Reverse and Add trajectory of 318 in base 4: A075153(6*n+1) = 3*a(n).

lim_{n -> infinity} a(n)/a(n-1) = 16.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (21, -84, 64).

FORMULA

a(n) = (2560*16^n + 600*4^n - 10)/3 for n > 0.

G.f.: (357 + 6953*x - 51812*x^2 + 44352*x^3)/((1-x)*(1-4*x)*(1-16*x)).

a(0)=357, a(1)=14450, a(2)=221650, a(3)=3508050, a(n)=21*a(n-1)- 84*a(n-2)+ 64*a(n-3). - Harvey P. Dale, Jun 18 2014

E.g.f.: (1/3)*(-10*exp(x) + 600*exp(4*x) + 2560*exp(16*x)) - 693. - G. C. Greubel, May 28 2016

MATHEMATICA

Join[{357}, LinearRecurrence[{21, -84, 64}, {14450, 221650, 3508050}, 20]] (* Harvey P. Dale, Jun 18 2014 *)

PROG

(PARI) m=15; v=concat([357, 14450, 221650], vector(m-3)); for(n=4, m, v[n]=20*v[n-1]-64*v[n-2]-150); v

CROSSREFS

Cf. A075153, A166912, A166914, A166915, A166916, A166917, A167120, A167121, A167122.

Sequence in context: A252027 A241931 A166916 * A224434 A278412 A278632

Adjacent sequences: A166910 A166911 A166912 * A166914 A166915 A166916

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Oct 27 2009

STATUS

approved

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Last modified November 28 00:05 EST 2022. Contains 358406 sequences. (Running on oeis4.)