A288819 Record maxima in A288818.

0, 1, 3, 4, 5, 6, 8, 12, 13, 17, 18, 21, 22, 23, 25, 30, 34, 41, 45, 54, 58, 60, 62, 66, 75, 80, 82, 83, 88, 104, 110, 124, 131, 147, 163, 166, 173, 194, 220, 228, 233, 257, 290, 313, 334, 350, 359, 365, 412, 468, 477, 503, 520

Offset

1,3

Comments

If one assumes that larger records occur at A288818 indices beginning with 22 or 23, then a(54)-a(64) are: 528, 534, 538, 542, 636, 657, 687, 728, 764, 768, and 847. - Hans Havermann, Jul 31 2017

Links

Table of n, a(n) for n=1..53.

Mathematica

ric[d_, lp_] := Block[{p, e, i, j, n = Length@d}, If[n == 0, cnt++, If[d[[1]] > 0, Do[p = FromDigits@ Take[d, i]; If[p > lp && PrimeQ@p, ric[Take[d, i - n], p]; Do[e = Take[d, {i + 1, j}]; If[e[[1]] > 0 && e != {1}, ric[Take[d, j - n], p]], {j, i+1, n}]], {i, n}]]]]; a[n_] := (cnt = 0; ric[ IntegerDigits@ n, 1]; cnt); Union@ FoldList[Max, Array[a, 10^6]] (* Michael De Vlieger, Jun 19 2017, after Giovanni Resta at A288818 *)

Crossrefs

Cf. A288818, A288820 (records' position), A080670.

Sequence in context: A316091 A026487 A130788 * A087743 A073568 A094576

Adjacent sequences: A288816 A288817 A288818 * A288820 A288821 A288822

Keyword

nonn,base,more

Author

Hans Havermann, Jun 17 2017

Extensions

a(46)-a(53) from Giovanni Resta, Jun 20 2017

Status

approved