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A083589
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Expansion of 1/((1-4x)(1-x^4)).
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3
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1, 4, 16, 64, 257, 1028, 4112, 16448, 65793, 263172, 1052688, 4210752, 16843009, 67372036, 269488144, 1077952576, 4311810305, 17247241220, 68988964880, 275955859520, 1103823438081, 4415293752324, 17661175009296, 70644700037184
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (4,0,0,1,-4)
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FORMULA
| a(0)=1, a(n) = 4*a(n-1) if n is not a multiple of 4, otherwise a(n) = 4*a(n-1) + 1. - Vincenzo Librandi, Mar 19 2011
a(n) = 4^(n+4)/255 -1/12 +(-1)^n/20 +(-1)^floor(n/2)*A010685(n)/34. - R. J. Mathar, Mar 19 2011
a(0)=1, a(1)=4, a(2)=16, a(3)=64, a(4)=257, a(n)=4*a(n-1)+a(n-4)- 4*a (n-5) [From Harvey P. Dale, Sep 13 2011]
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MATHEMATICA
| CoefficientList[Series[1/((1-4x)(1-x^4)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {4, 0, 0, 1, -4}, {1, 4, 16, 64, 257}, 31] (* From Harvey P. Dale, Sep 13 2011 0)
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CROSSREFS
| Cf. A033139, A000975.
Sequence in context: A075614 A083592 A069029 * A098590 A071357 A142872
Adjacent sequences: A083586 A083587 A083588 * A083590 A083591 A083592
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), May 02 2003
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