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A085959 Multiples of 37. 1
0, 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962, 999, 1036, 1073, 1110, 1147, 1184, 1221, 1258, 1295, 1332, 1369, 1406, 1443, 1480, 1517, 1554, 1591, 1628, 1665, 1702, 1739 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

If a(k) = 100*u+10*v+w with 0 <= u, v, w < 10, then 100*v+10*w+u is also a term.

Numbers for which the sum of "digits" base 1000 is divisible by 37, since 999 = 3^3 * 37. For instance, 10089601558 gives 10 + 089 + 601 + 558 = 1258, 1 + 258 = 259 = 7 * 37. - Daniel Forgues, Feb 22 2016

REFERENCES

David Wells, The Penguin Dictionary of Curious and Interesting Numbers, Penguin Books, 1986.

LINKS

Table of n, a(n) for n=0..47.

Tanya Khovanova, Recursive Sequences

Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081 [math.CO], 2014-2015.

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

FORMULA

a(n) = a(n-1)+37; a(0)=0.

G.f.: 37*x/(1-x)^2. - Vincenzo Librandi, Feb 23 2016

MATHEMATICA

Range[0, 2000, 37] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)

CoefficientList[Series[37 x / (1 - x)^2, {x, 0, 33}], x] (* Vincenzo Librandi, Feb 23 2016 *)

PROG

(MAGMA) [37*n: n in [0..50]]; // Vincenzo Librandi, Feb 23 2016

CROSSREFS

Cf. A044102.

Sequence in context: A123815 A087531 A283718 * A145936 A071884 A216287

Adjacent sequences:  A085956 A085957 A085958 * A085960 A085961 A085962

KEYWORD

nonn,easy

AUTHOR

Reinhard Zumkeller, Aug 17 2003

STATUS

approved

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Last modified April 27 18:32 EDT 2017. Contains 285528 sequences.