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 A038249 Third line of 4-wave sequence A038197. 0
 1, 2, 9, 19, 75, 160, 622, 1329, 5157, 11021, 42756, 91376, 354484, 757588, 2938977, 6281058, 24366645, 52075371, 202020427, 431749580, 1674922950, 3579575053, 13886550633, 29677753369, 115131438424, 246054079584, 954538564968 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS F. v. Lamoen, Wave sequences Index entries for linear recurrences with constant coefficients, signature (0,10,0,-15,0,7,0,-1). FORMULA G.f.: (-x^3-x^2+2*x+1) / (x^8-7*x^6+15*x^4-10*x^2+1). - Alois P. Heinz, Jul 16 2009 MAPLE a:= n-> (Matrix([[ `if`(irem(n, 2)=0, 1, 2), 0, 0, 1]]). Matrix(4, (i, j)-> if i=j-1 then 1 elif j=1 then [10, -15, 7, -1][i] else 0 fi)^iquo(n, 2))[1, 1]: seq(a(n), n=0..30); # Alois P. Heinz, Jul 16 2009 CROSSREFS Sequence in context: A274853 A264670 A026541 * A116014 A090939 A077338 Adjacent sequences:  A038246 A038247 A038248 * A038250 A038251 A038252 KEYWORD nonn,easy AUTHOR STATUS approved

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