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 A159862 Main diagonal of A159861. 2
 1, 1, 4, 29, 2265, 18698645, 1602308616574727, 14017675267522095175220940844027, 1245902734717669791621141496863001384336371908521990690157218737 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The length (number of decimal digits) of a(n) may be a power of 2 and often simply doubles, when n is increased by 1. But there are many exceptions: n = 11, 12, 13 give lengths 2^8, 3*2^7, 2^9, respectively. A factor of 3 is found in the lengths of a(n) for n = 12, 112..123, 1113..1234, 11123..12345, and so on. A factor of 7 is found for n = 1112, 11112..11122, and so on. 15 is factor of the length of a(11111112). LINKS Alois P. Heinz, Table of n, a(n) for n = 1..12 MAPLE R:= (S, m)-> iquo(S+m-1, m): A:= proc(m, n) option remember; `if`(n=1, 1, R(parse(cat(seq(A(m, j), j=1..n-1))), m)) end: a:= n-> A(n, n): seq(a(n), n=1..10); MATHEMATICA R[S_, m_] := Quotient[S + m - 1, m]; A[m_, n_] := If[n == 1, 1, R[ToExpression@StringJoin[ToString /@ Table[A[m, j], {j, 1, n - 1}]], m]]; a[n_] := A[n, n]; Table[a[n], {n, 1, 10}] (* Jean-François Alcover, Feb 13 2023, after Maple code *) CROSSREFS Cf. A156146, A156147, A000040, A010783. Sequence in context: A166168 A126559 A213795 * A364853 A298648 A164820 Adjacent sequences: A159859 A159860 A159861 * A159863 A159864 A159865 KEYWORD easy,nonn AUTHOR Eric Angelini and Alois P. Heinz, Apr 24 2009 STATUS approved

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Last modified September 12 20:35 EDT 2024. Contains 375854 sequences. (Running on oeis4.)