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Search: id:A099638
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| 1, 77, 7437, 741037, 74077037, 7407437037, 740741037037, 74074077037037, 7407407437037037, 740740741037037037, 74074074077037037037, 7407407407437037037037, 740740740741037037037037
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OFFSET
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1,2
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COMMENT
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Patterned-digit obtained when (1,5)-half-repdigit is divided by 15, the least such number.This simple generating rule is often[not always] applicable to provide curious digit-patterns. Thus A=1,B=7 give 111..888 numbers divided by 18 results in A003555.
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FORMULA
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a[n]=A*(((100^n-1)/9)+B*(10^n - 1)/9)/15, where A=1, B=5-A=4.
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EXAMPLE
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n = 20: a[20] = 1111111111111111111155555555555555555555/15 = 74074074074074074077037037037037037037.
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MATHEMATICA
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f[x_] := 3*((100^x-1)/9) + 4*(10^x-1)/9 Table[f[w], {w, 1, 20}]/15
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CROSSREFS
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Cf. A098210.
Sequence in context: A049658 A116319 A107787 this_sequence A046191 A115616 A120799
Adjacent sequences: A099635 A099636 A099637 this_sequence A099639 A099640 A099641
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Oct 28 2004
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