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Search: id:A033115
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| A033115 |
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Base-5 digits are, in order, the first n terms of the periodic sequence with initial period 1,0. |
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+0
3
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| 1, 5, 26, 130, 651, 3255, 16276, 81380, 406901, 2034505, 10172526, 50862630, 254313151, 1271565755, 6357828776, 31789143880, 158945719401, 794728597005, 3973642985026, 19868214925130, 99341074625651, 496705373128255
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n)=floor(5^(n+2)/24); a(n)=sum{k=0..floor(n/2), 5^(n-2k) }; a(n)=sum{k=0..n, sum{j=0..k, (-1)^(j+k)5^j }}. - Paul Barry (pbarry(AT)wit.ie), Nov 12 2003
Partial sums of A083425. G.f.: 1/((1 - x)(1 + x)(1 - 5x)); a(n)=4a(n-1)+5a(n-2)+1. - Paul Barry (pbarry(AT)wit.ie), Nov 12 2003
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CROSSREFS
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Cf. A015531.
Sequence in context: A002316 A005499 A003583 this_sequence A033123 A047770 A047757
Adjacent sequences: A033112 A033113 A033114 this_sequence A033116 A033117 A033118
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KEYWORD
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nonn,base
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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