

A105671


a(2n) = Lucas(2n+3)^2, a(2n+1) = Lucas(2n+1)^2.


0



16, 1, 121, 16, 841, 121, 5776, 841, 39601, 5776, 271441, 39601, 1860496, 271441, 12752041, 1860496, 87403801, 12752041, 599074576, 87403801, 4106118241, 599074576, 28143753121, 4106118241, 192900153616, 28143753121
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OFFSET

0,1


COMMENTS

This sequence is related to several other sequences on squares. In reference to the link "Sequences in Context", (a(n)) = vessigcycseq. Note that the identity "vessigcyc = jessigcyc + lessigcyc + tessigcyc" holds.


LINKS

Table of n, a(n) for n=0..25.


FORMULA

Expansion of (x^48x^2+15x16)/((x1)(x^47x^2+1))


MATHEMATICA

a[n_?EvenQ] := LucasL[n+3]^2; a[n_?OddQ] := LucasL[n]^2; Table[a[n], {n, 0, 25}] (* JeanFrançois Alcover, Sep 28 2011 *)


PROG

Floretion Algebra Multiplication Program, FAMP Code: 1vessigcycseq[ + 4.75'i  .75'j  .25'k + 4.75i'  .75j'  .25k'  1.75'ii'  3.75'jj' + 4.25'kk'  .25'ij' + 1.25'ik'  .25'ji' + 2.75'jk' + 1.25'ki' + 2.75'kj' + 2.25e]


CROSSREFS

Cf. A081071.
Sequence in context: A040271 A036179 A099923 * A145828 A223518 A095876
Adjacent sequences: A105668 A105669 A105670 * A105672 A105673 A105674


KEYWORD

easy,nonn


AUTHOR

Creighton Dement, Apr 17 2005


STATUS

approved



