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 A064532 Total number of holes in decimal expansion of the number n, assuming 4 has no hole. 9
 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 4, 3, 2, 1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Assumes that 4 is represented without a hole. LINKS Indranil Ghosh, Table of n, a(n) for n = 0..50000 FORMULA a(10i+j) = a(i) + a(j), etc. EXAMPLE 8 has two holes so a(8) = 2. MATHEMATICA a[n_ /; 0 <= n <= 9] := a[n] = {1, 0, 0, 0, 0, 0, 1, 0, 2, 1}[[n + 1]]; a[n_] := Total[a[#] + 1 & /@ (id = IntegerDigits[n])] - Length[id]; Table[a[n], {n, 0, 104}] (* Jean-François Alcover, Nov 22 2013 *) Table[DigitCount[x].{0, 0, 0, 0, 0, 1, 0, 2, 1, 1}, {x, 0, 104}] (* Michael De Vlieger, Feb 02 2017, after Zak Seidov at A064692 *) PROG (Python) def A064532(n): x=str(n) return x.count("0")+x.count("6")+x.count("8")*2+x.count("9") # Indranil Ghosh, Feb 02 2017 (PARI) h(n) = [1, 0, 0, 0, 0, 0, 1, 0, 2, 1][n]; a(n) = if (n, my(d=digits(n)); sum(i=1, #d, h(d[i]+1)), 1); \\ Michel Marcus, Nov 11 2022 CROSSREFS Cf. A064529, A064530. Equals A064531 - 1. Cf. A358439 (sum by number of digits). Sequence in context: A106822 A203905 A309142 * A321922 A362496 A360003 Adjacent sequences: A064529 A064530 A064531 * A064533 A064534 A064535 KEYWORD nonn,easy,base AUTHOR N. J. A. Sloane, Oct 07 2001 EXTENSIONS More terms from Matthew Conroy, Oct 09 2001 STATUS approved

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Last modified May 26 10:56 EDT 2024. Contains 372824 sequences. (Running on oeis4.)