

A111665


Expansion of (1+x+2*x^2+5*x^4+3*x^3) / ((x1)*(x+1)*(x^23*x+1)*(1+x^2)).


3



1, 2, 3, 4, 5, 10, 23, 56, 141, 366, 955, 2496, 6529, 17090, 44739, 117124, 306629, 802762, 2101655, 5502200, 14404941, 37712622, 98732923, 258486144, 676725505, 1771690370, 4638345603, 12143346436, 31791693701, 83231734666, 217903510295
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OFFSET

0,2


LINKS

Colin Barker, Table of n, a(n) for n = 0..1000
Robert Munafo, Sequences Related to "Floretions"
Index entries for linear recurrences with constant coefficients, signature (3,1,0,1,3,1).


FORMULA

a(n) = 3*a(n1)  a(n2) + a(n4)  3*a(n5) + a(n6) for n>5.  Colin Barker, May 13 2019


PROG

Floretion Algebra Multiplication Program, FAMP Code: 4ibaseisumseq[ + .25'i + .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e], sumtype: Y[15], inty[ * ]
(PARI) Vec((1  x  2*x^2  3*x^3  5*x^4) / ((1  x)*(1 + x)*(1  3*x + x^2)*(1 + x^2)) + O(x^35)) \\ Colin Barker, May 13 2019


CROSSREFS

Cf. A111664, A111666.
Sequence in context: A190912 A306108 A282033 * A111666 A080475 A247233
Adjacent sequences: A111662 A111663 A111664 * A111666 A111667 A111668


KEYWORD

easy,nonn


AUTHOR

Creighton Dement, Aug 14 2005


STATUS

approved



