A135631 Multiples of 31.

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

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