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A047206 Numbers that are congruent to {1, 3, 4} mod 5. +0
2
1, 3, 4, 6, 8, 9, 11, 13, 14, 16, 18, 19, 21, 23, 24, 26, 28, 29, 31, 33, 34, 36, 38, 39, 41, 43, 44, 46, 48, 49, 51, 53, 54, 56, 58, 59, 61, 63, 64, 66, 68, 69, 71, 73, 74, 76, 78, 79, 81, 83, 84, 86, 88, 89, 91, 93 (list; graph; listen)
OFFSET

1,2

FORMULA

G.f.: [1+2x+x^2+x^3]/[(1-x)^2*(1+x+x^2)].

a(2) = 4, a(0) = 1, a(1) = 3, (-13-5*n)*a(n)-5*a(n+1)-5*a(n+2)+(5*n+8)*a(n+3). a(n)= 1+(5 n)/3-(i sqrt(3) (-1/2+(i sqrt(3))/2)^n)/9+(i sqrt(3) (-1/2-(i sqrt(3))/2)^n)/9 - Stephen Crowley (crow(AT)crowlogic.net), Feb 11 2007

CROSSREFS

Sequence in context: A109259 A059535 A061402 this_sequence A081031 A133280 A138097

Adjacent sequences: A047203 A047204 A047205 this_sequence A047207 A047208 A047209

KEYWORD

nonn

AUTHOR

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

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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