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A247541 7*n^2 + 1. 1
1, 8, 29, 64, 113, 176, 253, 344, 449, 568, 701, 848, 1009, 1184, 1373, 1576, 1793, 2024, 2269, 2528, 2801, 3088, 3389, 3704, 4033, 4376, 4733, 5104, 5489, 5888, 6301, 6728, 7169, 7624, 8093, 8576, 9073, 9584, 10109, 10648, 11201, 11768, 12349, 12944, 13553 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Michael De Vlieger, Table of n, a(n) for n = 0..10000

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

FORMULA

G.f.: (1 + 5*x + 8*x^2)/(1 - x)^3. - Vincenzo Librandi, Sep 19 2014

MATHEMATICA

a247541[n_Integer] := 7 n^2 + 1; a247541 /@ Range[0, 120] (* Michael De Vlieger, Sep 18 2014 *)

CoefficientList[Series[(1 + 5 x + 8 x^2)/(1 - x)^3, {x, 0, 50}], x] (* Vincenzo Librandi, Sep 19 2014 *)

LinearRecurrence[{3, -3, 1}, {1, 8, 29}, 50] (* Harvey P. Dale, Jun 09 2015 *)

PROG

(Python)

for n in range (0, 500) : print (7*n**2+1)

(PARI) vector(100, n, 7*(n-1)^2+1) \\ Derek Orr, Sep 18 2014

(MAGMA) [7*n^2+1: n in [0..50]]; // Vincenzo Librandi, Sep 19 2014

CROSSREFS

Cf. A201602 (primes of the form 7n^2 + 1).

Sequence in context: A299678 A300310 A171442 * A320695 A093809 A244244

Adjacent sequences:  A247538 A247539 A247540 * A247542 A247543 A247544

KEYWORD

nonn,easy

AUTHOR

Karl V. Keller, Jr., Sep 18 2014

STATUS

approved

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Last modified April 21 10:30 EDT 2019. Contains 322328 sequences. (Running on oeis4.)