A248572 a(n) = 29*n + 1.

1, 30, 59, 88, 117, 146, 175, 204, 233, 262, 291, 320, 349, 378, 407, 436, 465, 494, 523, 552, 581, 610, 639, 668, 697, 726, 755, 784, 813, 842, 871, 900, 929, 958, 987, 1016, 1045, 1074, 1103, 1132, 1161, 1190, 1219, 1248, 1277, 1306, 1335, 1364, 1393, 1422

Offset

0,2

Comments

Numbers congruent to 1 mod 29.

Both A141977 and A059256 give the primes in this sequence.

Links

Karl V. Keller, Jr., Table of n, a(n) for n = 0..10000

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

Formula

a(n) = 29*n + 1.

G.f.: (1+28*x)/(1-x)^2. - Vincenzo Librandi, Oct 26 2014 [corrected by Georg Fischer, May 24 2019]

E.g.f.: (1 + 29*x)*exp(x). - G. C. Greubel, May 24 2019

Example

For n = 5, 29n + 1 = 145 + 1 = 146.

Mathematica

29Range[0, 60] + 1 (* Alonso del Arte, Oct 09 2014 *)
CoefficientList[Series[(1+28x)/(1-x)^2, {x, 0, 60}], x] (* Vincenzo Librandi, Oct 26 2014 *)
LinearRecurrence[{2, -1}, {1, 30}, 50] (* Harvey P. Dale, Oct 08 2019 *)

Prog

(Python)
for n in range(61):
    print(29*n+1, end=', ')
(PARI) vector(60, n, n--; 29*n+1) \\ Derek Orr, Oct 08 2014
(Magma) [29*n+1: n in [0..60]]; // Vincenzo Librandi, Oct 26 2014
(Sage) [29*n+1 for n in (0..60)] # G. C. Greubel, May 24 2019
(GAP) List([0..60], n-> 29*n+1) # G. C. Greubel, May 24 2019

Crossrefs

Cf. A141977 (Primes congruent to 1 mod 29).

Cf. A059256 (Primes p such that x^29 = 2 has no solution mod p).

Cf. A195819 (multiples of 29).

Sequence in context: A048451 A154796 A350316 * A248739 A004962 A271744

Adjacent sequences: A248569 A248570 A248571 * A248573 A248574 A248575

Keyword

nonn,easy

Author

Karl V. Keller, Jr., Oct 08 2014

Status

approved