

A110064


a(n+4) = a(n+1)  a(n), a(0) = 1, a(1) = 4, a(2) = 0, a(3) = 1.


3



1, 4, 0, 1, 5, 4, 1, 6, 9, 3, 7, 15, 12, 4, 22, 27, 8, 26, 49, 35, 18, 75, 84, 17, 93, 159, 101, 76, 252, 260, 25, 328, 512, 285, 303, 840, 797, 18, 1143, 1637, 779, 1161, 2780, 2416, 382, 3941, 5196, 2034, 4323, 9137, 7230, 2289, 13460, 16367, 4941, 15749, 29827, 21308, 10808
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OFFSET

0,2


COMMENTS

One of several sequences, apparently all of the form a(n+4) = a(n+1)  a(n), which appear to "spiral outwards" when plotted against each other (see A11006164). In reference to the FAMP program code, A017817 is also in this same batch of sequences and satisfies the same recurrence relation.


LINKS

Table of n, a(n) for n=0..58.
Index entries for linear recurrences with constant coefficients, signature (0,0,1,1).


FORMULA

Expansion of (4*x1)/(1x^3+x^4)


MAPLE

seriestolist(series((1+4*x)/(1x^3+x^4), x=0, 60)); or Floretion Algebra Multiplication Program, FAMP Code: 4kbaseseq[A*B] with A = + .5'i + .5'j + .5'k + .5e and B =  .5'i  .25'j + .25'k  .5i'  .25j' + .25k'  .5'ii'  .25'ij'  .25'ik'  .25'ji'  .25'ki'  .5e


MATHEMATICA

LinearRecurrence[{0, 0, 1, 1}, {1, 4, 0, 1}, 60] (* Harvey P. Dale, Oct 23 2016 *)


CROSSREFS

Cf. A110061, A110062, A110063, A017817.
Sequence in context: A178103 A147309 A147308 * A021253 A136586 A092746
Adjacent sequences: A110061 A110062 A110063 * A110065 A110066 A110067


KEYWORD

easy,sign


AUTHOR

Creighton Dement, Jul 10 2005


STATUS

approved



