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A332562
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a(n) = number formed by concatenating the decimal digits of 44, 45, 46, ..., 44+n.
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2
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44, 4445, 444546, 44454647, 4445464748, 444546474849, 44454647484950, 4445464748495051, 444546474849505152, 44454647484950515253, 4445464748495051525354, 444546474849505152535455, 44454647484950515253545556, 4445464748495051525354555657
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OFFSET
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0,1
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COMMENTS
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This is an instance of a sequence arising in A332580.
As of Feb 24 2020, it is an open question as to whether there is an N such that a(N) is divisible by 44+N+1. If such an N exists, N > 10^11, as shown by Joseph Myers (see A332580).
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LINKS
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MAPLE
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a:= n-> parse(cat($44..44+n)):
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MATHEMATICA
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Nest[Append[#, 10^IntegerLength[#2]*#1[[-1]] + #2 ] & @@ {#, 44 + Length@ #} &, {44}, 13] (* Michael De Vlieger, Feb 24 2020 *)
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PROG
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(Magma) [Seqint(Reverse(&cat[Reverse(Intseq(k)): k in [44..n]])): n in [44..60]]; // Vincenzo Librandi, Feb 26 2020
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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