

A114619


2*A079291 (twice squares of Pell numbers).


2



0, 2, 8, 50, 288, 1682, 9800, 57122, 332928, 1940450, 11309768, 65918162, 384199200, 2239277042, 13051463048, 76069501250, 443365544448, 2584123765442, 15061377048200, 87784138523762, 511643454094368
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OFFSET

0,2


COMMENTS

Crossreferenced sequences A116484, A001109, A108475, A090390 are also generated by A*B given in the program code.


LINKS

Table of n, a(n) for n=0..20.


FORMULA

G.f. 2*x*(1x)/((x+1)*(x^26*x+1))
a(n) = ( ( (1Sqrt[ 2 ])^n + (1+Sqrt[ 2 ])^n) /2)^2 + (1)^(n+1). The formula (1Sqrt[ 2 ])^n + (1+Sqrt[ 2 ])^n) /2) is the that given by Reinhard Zumkeller in A001333. Furthermore, ( ( (A001333)_(n) )^2 + ( (A114619)_(n) )^2  1)^(1/2) = A001542_(n) and ( 2*A001542_(n) + 1)^(1/2) = A001333_(2n)  Antonio Pane (apane1(AT)spc.edu), Dec 15 2007


PROG

Floretion Algebra Multiplication Program, FAMP Code: 1jbasejseq[A*B] with A =  .5'i + .5'j  .5i' + .5j' + 'kk'  .5'ik'  .5'jk'  .5'ki'  .5'kj' and B =  .5'j + .5'k  .5j' + .5k'  'ii'  .5'ij'  .5'ik'  .5'ji'  .5'ki' ; apart from initial term.


CROSSREFS

Cf. A116484, A001109, A108475, A090390.
Cf. A079291, A001333, A001542.
Sequence in context: A136226 A046165 A227264 * A027047 A034491 A231352
Adjacent sequences: A114616 A114617 A114618 * A114620 A114621 A114622


KEYWORD

easy,nonn


AUTHOR

Creighton Dement, Feb 17 2006


STATUS

approved



