A152579 a(n) = (10*n+3)*(10*n+17).

51, 351, 851, 1551, 2451, 3551, 4851, 6351, 8051, 9951, 12051, 14351, 16851, 19551, 22451, 25551, 28851, 32351, 36051, 39951, 44051, 48351, 52851, 57551, 62451, 67551, 72851, 78351, 84051, 89951, 96051, 102351, 108851, 115551, 122451, 129551, 136851, 144351, 152051, 159951

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Formula

a(n) = 100*n*(n+2) + 51 = 100*A005563(n) + 51 = 100*(n+1)^2 - 49 = A017270(n+1) - 49.

a(n) = 2*a(n-2) - a(n-2) + 200.

a(n) = 50*A056220(n+1) + 1.

a(n+1) - a(n) = 200*n+300 = 100*A144396(n+1).

G.f.: ( -51 - 198*x + 49*x^2 ) / (x-1)^3. - R. J. Mathar, Jul 01 2011

Prog

(Magma) [(10*n+3)*(10*n+17): n in [0..40]]; // Vincenzo Librandi, Jul 28 2011
(PARI) a(n)=100*n*(n+2)+51 \\ Charles R Greathouse IV, Jul 28 2011

Crossrefs

Cf. A017305 (10n+3), A017353 (10n+7), A152161.

Sequence in context: A155464 A165087 A359026 * A083669 A273189 A222910

Adjacent sequences: A152576 A152577 A152578 * A152580 A152581 A152582

Keyword

nonn,easy

Author

Paul Curtz, Dec 08 2008

Status

approved