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 A135631 Multiples of 31. 13
 0, 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806, 837, 868, 899, 930, 961, 992, 1023, 1054, 1085, 1116, 1147, 1178, 1209, 1240, 1271, 1302, 1333, 1364, 1395, 1426, 1457, 1488 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(1) = 31 is the third Mersenne prime. a(8) = 248 is the dimensions of E_8. a(16) = 496 is the third perfect number. - Pol a(n)^340 = 155 mod 341 unless a(n) is also divisible by 11. - Alonso del Arte, Feb 15 2012 Number of sides on n triacontakaihenagons (31-gons). - Wesley Ivan Hurt, Oct 25 2016 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081, 2014 Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA a(n) = 31*n. From G. C. Greubel, Oct 24 2016: (Start) G.f.: (31*x)/(1 - x)^2. E.g.f.: 31*x*exp(x). a(n) = 2*a(n-1) - a(n-2). (End) EXAMPLE a(8) = 31 * 8 = 248. a(16) = 31 * 16 = 496. MAPLE with(numtheory):a:=proc(n) if n=0 then 0 else mcombine(7*n, 3*n, 5*n, 11*n) fi end: seq(a(n), n=0..45); # Zerinvary Lajos, Apr 11 2008 MATHEMATICA Range[0, 3000, 31] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *) LinearRecurrence[{2, -1}, {0, 31}, 25] (* G. C. Greubel, Oct 24 2016 *) CROSSREFS Cf. A135628. Sequence in context: A303698 A164012 A037982 * A276787 A042906 A042904 Adjacent sequences:  A135628 A135629 A135630 * A135632 A135633 A135634 KEYWORD easy,nonn AUTHOR Omar E. Pol, Nov 25 2007 STATUS approved

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Last modified May 16 17:05 EDT 2021. Contains 343949 sequences. (Running on oeis4.)