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Search: id:A121453
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A121453 Numbers m such that (m mod k) > (m+2 mod k) with least value of k = 5. +0
1
9, 24, 33, 48, 69, 84, 93, 108, 129, 144, 153, 168, 189, 204, 213, 228, 249, 264, 273, 288, 309, 324, 333, 348, 369, 384, 393, 408, 429, 444, 453, 468, 489, 504, 513, 528, 549, 564, 573, 588, 609, 624, 633, 648, 669, 684, 693, 708, 729, 744, 753, 768, 789 (list; graph; listen)
OFFSET

1,1

COMMENT

Or, numbers m such A121937(m)=5. Cf. A121937 a(n) = least m >= 2 such that (n mod m) > (n+2 mod m).

FORMULA

a(n) = 3*(sin((n*Pi)/2)- cos((n*Pi)/2)+5*n-3)

EXAMPLE

9 is here because least k such that (9 mod k) > (11 mod k) is 5;

24 is here because least k such that (24 mod k) > (26 mod k) is 5.

MATHEMATICA

Table[15*n-9-3*Cos[(n*Pi)/2]+3*Sin[(n*Pi)/2], {n, 60}]

CROSSREFS

Cf. A121937.

Adjacent sequences: A121450 A121451 A121452 this_sequence A121454 A121455 A121456

Sequence in context: A101058 A102217 A124065 this_sequence A003343 A047720 A063066

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Sep 07 2006

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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