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 A200748 Smallest number requiring n terms to be expressed as a sum of factorials. 5
 0, 1, 3, 5, 11, 17, 23, 47, 71, 95, 119, 239, 359, 479, 599, 719, 1439, 2159, 2879, 3599, 4319, 5039, 10079, 15119, 20159, 25199, 30239, 35279, 40319, 80639, 120959, 161279, 201599, 241919, 282239, 322559, 362879, 725759, 1088639, 1451519, 1814399, 2177279 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Indices of record values in A034968. Records for sum of digits when numbers are written in factorial base. Numbers, n, whose factorial base representation digitally dominates every number less than or equal to n; we say n digitally dominates m if each digit of n in its factorial base representation is greater than or equal to the corresponding digit of m in its factorial base representation. - Joanne Beckford, Sep 01 2017 LINKS Michael De Vlieger, Table of n, a(n) for n = 0..11324 (corresponding to rows 1 <= n <= 150 of A051683, see Formula) FORMULA a(n) = A051683(n+1) - 1. MATHEMATICA With[{b = MixedRadix[Reverse@ Range[2, 12]]}, Function[s, {0}~Join~Map[FirstPosition[s, #][[1]] &, Union@ FoldList[Max, s]]]@ Array[Total@ IntegerDigits[#, b] &, 10^5]] (* or *) Prepend[-1 + Rest@ Flatten[Table[n!*k, {n, 9}, {k, n}]], 0] (* Michael De Vlieger, Sep 03 2017, after Jean-François Alcover at A051683 *) PROG (PARI) k=0; m=1; s=0; vector(45, n, s+=m!; if(k++==m, k=0; m++); s) CROSSREFS Cf. A051683, A034968. Sequence in context: A155938 A158318 A099596 * A063693 A258713 A267517 Adjacent sequences:  A200745 A200746 A200747 * A200749 A200750 A200751 KEYWORD nonn AUTHOR Franklin T. Adams-Watters, Nov 28 2011 STATUS approved

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Last modified September 20 08:08 EDT 2019. Contains 327214 sequences. (Running on oeis4.)