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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 Vincenzo Librandi, Table of n, a(n) for n = 0..5000 Index entries for linear recurrences with constant coefficients, signature (2,-1). 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 Cf. A016957, A017329, A057145, A139600, A139606-A139618, A139620. Cf. A017173, A051682. Sequence in context: A162347 A161879 A176600 * A121039 A162639 A247614 Adjacent sequences: A139616 A139617 A139618 * A139620 A139621 A139622 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.)