

A221286


Vsemirnov's sequence.


1



106276436867, 35256392432, 141532829299, 176789221731, 318322051030, 495111272761, 813433323791, 1308544596552, 2121977920343, 3430522516895, 5552500437238, 8983022954133, 14535523391371, 23518546345504, 38054069736875, 61572616082379, 99626685819254, 161199301901633, 260825987720887, 422025289622520
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OFFSET

0,1


COMMENTS

A primefree linear recurrence with no common factors. As of 2004 no such sequences with smaller starting terms were known.


LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000
M. Vsemirnov, A new Fibonaccilike sequence of composite numbers, Journal of Integer Sequences 7:3 (2004).
Index to sequences with linear recurrences with constant coefficients, signature (1,1).


FORMULA

a(n) = a(n1) + a(n2).
G.f.: (10627643686771020044435*x)/(1xx^2).
a(n) = 1/10*(355100222175*((1/2+1/2*sqrt(5))^(n+1)+(1/21/2*sqrt(5))^(n+1)) +283572918169*sqrt(5)*((1/2+1/2*sqrt(5))^(n+1) (1/21/2*sqrt(5))^(n+1))). [Paolo P. Lava, Feb 15 2013]


MAPLE

a:= n> (<<01>, <11>>^n. <<106276436867, 35256392432>>)[1, 1]:
seq(a(n), n=0..20); # Alois P. Heinz, Apr 04 2013


MATHEMATICA

LinearRecurrence[{1, 1}, {106276436867, 35256392432}, 20] (* Alonso del Arte, Feb 05 2013 *)


CROSSREFS

Cf. A083216.
Sequence in context: A164935 A168340 A104799 * A074337 A072143 A233495
Adjacent sequences: A221283 A221284 A221285 * A221287 A221288 A221289


KEYWORD

nonn,easy


AUTHOR

Charles R Greathouse IV, Feb 05 2013


EXTENSIONS

Offset corrected by Alois P. Heinz, Apr 04 2013


STATUS

approved



