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A139619 a(n) = 171*n + 19. 3
19, 190, 361, 532, 703, 874, 1045, 1216, 1387, 1558, 1729, 1900, 2071, 2242, 2413, 2584, 2755, 2926, 3097, 3268, 3439, 3610, 3781, 3952, 4123, 4294, 4465, 4636, 4807, 4978, 5149, 5320, 5491, 5662, 5833, 6004, 6175, 6346, 6517, 6688 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Numbers of the 19th column of positive numbers in the square array of nonnegative and polygonal numbers A139600. Also, numbers of the 19th column in the square array A057145.
LINKS
FORMULA
From Chai Wah Wu, Apr 14 2017: (Start)
a(n) = 2*a(n-1) - a(n-2) for n > 1.
G.f.: (152*x + 19)/(x - 1)^2. (End)
From Elmo R. Oliveira, Apr 11 2024: (Start)
E.g.f.: 19*exp(x)*(1 + 9*x).
a(n) = 19*A017173(n) = 19*(A051682(n+1) - A051682(n)). (End)
MATHEMATICA
Range[0, 100]*171 + 19 (* Paolo Xausa, Apr 17 2024 *)
PROG
(Magma) [19*(9*n + 1): n in [0..50]]; // Vincenzo Librandi, Jul 23 2011
(PARI) a(n)=171*n+19 \\ Charles R Greathouse IV, Oct 05 2011
CROSSREFS
Sequence in context: A162347 A161879 A176600 * A121039 A162639 A247614
KEYWORD
easy,nonn,changed
AUTHOR
Omar E. Pol, May 21 2008
STATUS
approved

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)