A131588 Interlaces A007583 with A083420.

1, 1, 3, 7, 11, 31, 43, 127, 171, 511, 683, 2047, 2731, 8191, 10923, 32767, 43691, 131071, 174763, 524287, 699051, 2097151, 2796203, 8388607, 11184811, 33554431, 44739243, 134217727, 178956971, 536870911, 715827883, 2147483647, 2863311531

Offset

0,3

Comments

Floretion Algebra Multiplication Program, FAMP Code: minseq[A*B] with A = + .25'i + .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e and B = + 'i + 'j - 2'k (apart from initial term and signs)

Links

Table of n, a(n) for n=0..32.

Index entries for linear recurrences with constant coefficients, signature (0,5,0,-4).

Formula

a(n) = 5*a(n-2) - 4*a(n-4); a(n) = (5*2^n+(-2)^n-8*(-1)^n-4)/12; g.f. (1+x-2*x^2+2*x^3)/((x-1)*(2*x+1)*(2*x-1)*(x+1))

Crossrefs

Cf. A007583, A083420, A001045.

Sequence in context: A267357 A152084 A274134 * A361680 A091938 A333424

Adjacent sequences: A131585 A131586 A131587 * A131589 A131590 A131591

Keyword

easy,nonn

Author

Creighton Dement, Aug 30 2007

Status

approved