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A008589
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Multiples of 7.
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36
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0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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COMMENTS
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Also the Engel expansion of exp(1/7); cf. A006784 for the Engel expansion definition - Benoit Cloitre, Mar 03 2002
Complement of A047304; A082784(a(n))=1; A109720(a(n))=0. [From Reinhard Zumkeller, Nov 30 2009]
The most likely sum of digits to occur when randomly tossing n pairs of (fair) six-sided dice. [From Dennis Walsh, Jan 26 2012]
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LINKS
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Table of n, a(n) for n=0..54.
Tanya Khovanova, Recursive Sequences
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 319
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FORMULA
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(floor(a(n)/10) - 2*(a(n) mod 10)) == 0 modulo 7, see A076309. - Reinhard Zumkeller, Oct 06 2002
a(n) = 7*n = 2*a(n-1)-a(n-2). G.f.: 7*x/(x-1)^2. [From Vincenzo Librandi, Dec 24 2010]
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EXAMPLE
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For n=2, a(2)=14 because 14 is the most likely sum (of the possible sums 4, 5, ..., 24) to occur when tossing 2 pairs of six-sided dice. [From Dennis Walsh, Jan 26 2012]
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MATHEMATICA
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Range[0, 1000, 7] (* From Vladimir Joseph Stephan Orlovsky, May 27 2011 *)
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PROG
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(Maxima) makelist(7*n, n, 0, 20); /* Martin Ettl, Dec 17 2012 */
(Haskell)
a008589 = (* 7)
a008589_list = [0, 7 ..] -- Reinhard Zumkeller, Jan 25 2013
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CROSSREFS
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Cf. A008587, A008588, A016993.
Sequence in context: A004959 A020646 A182341 * A085130 A080194 A206717
Adjacent sequences: A008586 A008587 A008588 * A008590 A008591 A008592
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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