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A047211 Numbers that are congruent to {2, 4} mod 5. +0
2
2, 4, 7, 9, 12, 14, 17, 19, 22, 24, 27, 29, 32, 34, 37, 39, 42, 44, 47, 49, 52, 54, 57, 59, 62, 64, 67, 69, 72, 74, 77, 79, 82, 84, 87, 89, 92, 94, 97, 99, 102, 104, 107, 109, 112, 114, 117, 119, 122, 124, 127, 129 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = ( 10*n + 7 + (-1)^n ) / 4.

G.f.: (2+2x+x^2)/((1+x)(1-x)^2); [From Paul Barry (pbarry(AT)wit.ie), Sep 11 2008]

a(n)=5*n-a(n-1)-4 (with a(1)=2) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 22 2009]

EXAMPLE

For n=2, a(2)=5*2-2-4=4; n=3, a(3)=5*3-4-4=7; n=4, a(4)=5*4-7-4=9 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 22 2009]

CROSSREFS

Sequence in context: A022840 A064995 A067839 this_sequence A087733 A065027 A165994

Adjacent sequences: A047208 A047209 A047210 this_sequence A047212 A047213 A047214

KEYWORD

nonn,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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