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[1, 3, 5, 7, ...] convolved with [1, 4, 0, 0, 0, ...].
0

%I #9 Feb 08 2022 23:00:50

%S 1,7,17,27,37,47,57,67,77,87,97,107,117,127,137,147,157,167,177,187,

%T 197,207,217,227,237,247,257,267,277,287,297,307,317,327,337,347,357,

%U 367,377,387,397,407,417,427,437,447

%N [1, 3, 5, 7, ...] convolved with [1, 4, 0, 0, 0, ...].

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2, -1).

%F Odd integers convolved with [1, 4, 0, 0, 0, ...].

%e a(3) = 17 = (5, 3, 1) * (1, 4, 0) = (5 + 12 + 0).

%t Table[ListConvolve[Range[1,2n-1,2],PadRight[{1,4},n,0]],{n,50}]//Flatten (* or *) Join[{1},Range[7,450,10]] (* or *) LinearRecurrence[{2,-1},{1,7,17},50] (* _Harvey P. Dale_, Apr 28 2018 *)

%Y Essentially a duplicate of A017353.

%K nonn

%O 1,2

%A _Gary W. Adamson_, May 30 2009

%E More terms from _N. J. A. Sloane_, May 31 2009