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

1,2

Links

Table of n, a(n) for n=1..46.

Index entries for linear recurrences with constant coefficients, signature (2, -1).

Formula

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

Example

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

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 *)

Crossrefs

Essentially a duplicate of A017353.

Sequence in context: A283610 A043517 A277594 * A017353 A147089 A045575

Adjacent sequences: A160909 A160910 A160911 * A160913 A160914 A160915

Keyword

nonn

Author

Gary W. Adamson, May 30 2009

Extensions

More terms from N. J. A. Sloane, May 31 2009

Status

approved