%I A084136
%S A084136 1,1,5,13,57,201,797,2997,11569,44113,169205,647197,2478825,9488025,
%T A084136 36327821,139071813,532438369,2038379425,7803827429,29876310829,
%U A084136 114379413657,437893003113,1676441901821,6418134825429,24571362963601
%N A084136 Binomial transform of cosh(sqrt(2)x)^2.
%C A084136 a(n)=(A084058(n)+1)/2.
%F A084136 a(n)=(1+sqrt(8))^n/4+(1-sqrt(8))^n/4+1/2; E.g.f.: exp(x)cosh(sqrt(2)x)^2
%Y A084136 Cf. A084137.
%Y A084136 Sequence in context: A149550 A149551 A149552 this_sequence A091147 A149553 
               A149554
%Y A084136 Adjacent sequences: A084133 A084134 A084135 this_sequence A084137 A084138 
               A084139
%K A084136 easy,nonn
%O A084136 0,3
%A A084136 Paul Barry (pbarry(AT)wit.ie), May 16 2003