A160912 [1, 3, 5, 7, ...] convolved with [1, 4, 0, 0, 0, ...].
1, 7, 17, 27, 37, 47, 57, 67, 77, 87, 97, 107, 117, 127, 137, 147, 157, 167, 177, 187, 197, 207, 217, 227, 237, 247, 257, 267, 277, 287, 297, 307, 317, 327, 337, 347, 357, 367, 377, 387, 397, 407, 417, 427, 437, 447
Offset: 1
Keywords
Examples
a(3) = 17 = (5, 3, 1) * (1, 4, 0) = (5 + 12 + 0).
Links
- Index entries for linear recurrences with constant coefficients, signature (2, -1).
Crossrefs
Essentially a duplicate of A017353.
Programs
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Mathematica
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 *)
Formula
Odd integers convolved with [1, 4, 0, 0, 0, ...].
Extensions
More terms from N. J. A. Sloane, May 31 2009