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A033574 a(n) = (2*n+1)*(10*n+1). 2
1, 33, 105, 217, 369, 561, 793, 1065, 1377, 1729, 2121, 2553, 3025, 3537, 4089, 4681, 5313, 5985, 6697, 7449, 8241, 9073, 9945, 10857, 11809, 12801, 13833, 14905, 16017, 17169, 18361, 19593, 20865, 22177, 23529, 24921, 26353, 27825, 29337, 30889, 32481, 34113, 35785, 37497, 39249 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

FORMULA

From G. C. Greubel, Oct 12 2019: (Start)

G.f.: (1 + 30*x + 9*x^2)/(1-x)^3.

E.g.f.: (1 + 32*x + 20*x^2)*exp(x). (End)

MAPLE

seq((2*n+1)*(10*n+1), n=0..50); # G. C. Greubel, Oct 12 2019

MATHEMATICA

Table[(2*n+1)*(10*n+1), {n, 0, 50}] (* G. C. Greubel, Oct 12 2019 *)

PROG

(PARI) a(n)=(2*n+1)*(10*n+1) \\ Charles R Greathouse IV, Jun 17 2017

(MAGMA) [(2*n+1)*(10*n+1): n in [0..50]] # G. C. Greubel, Oct 12 2019

(Sage) [(2*n+1)*(10*n+1) for n in range(50)] # G. C. Greubel, Oct 12 2019

(GAP) List([0..50], n-> (2*n+1)*(10*n+1)); # G. C. Greubel, Oct 12 2019

CROSSREFS

Sequence in context: A133901 A008880 A045613 * A183446 A296125 A297429

Adjacent sequences:  A033571 A033572 A033573 * A033575 A033576 A033577

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Terms a(33) onward added by G. C. Greubel, Oct 12 2019

STATUS

approved

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Last modified September 16 16:11 EDT 2021. Contains 347473 sequences. (Running on oeis4.)