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A108924
J(n)^2+J(n+1)^2, with J(n) the Jacobsthal number A001045(n).
2
1, 2, 10, 34, 146, 562, 2290, 9074, 36466, 145522, 582770, 2329714, 9321586, 37280882, 149134450, 596515954, 2386107506, 9544342642, 38177545330, 152709831794, 610840026226, 2443358706802, 9773437623410, 39093744901234
OFFSET
0,2
FORMULA
G.f.: (1-x-2x^2)/((1-x)(1-4x)(1+2x)); a(n)=3a(n-1)+6a(n-2)-8a(n-3); a(n)=(5/9)4^n+(2/9)(-2)^n+2/9.
a(0)=1, a(1)=2, a(2)=10, a(n)=3*a(n-1)+6*a(n-2)-8*a(n-3). - Harvey P. Dale, Apr 11 2013
MATHEMATICA
Total/@Partition[LinearRecurrence[{1, 2}, {0, 1}, 40]^2, 2, 1] (* or *) LinearRecurrence[ {3, 6, -8}, {1, 2, 10}, 40] (* Harvey P. Dale, Apr 11 2013 *)
CROSSREFS
Sequence in context: A306099 A192378 A052965 * A281097 A221492 A356389
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Jul 17 2005
STATUS
approved