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A243658
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a(0)=0; thereafter a(n) = noz(n+a(n-1)), where noz(n) = A004719(n).
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13
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0, 1, 3, 6, 1, 6, 12, 19, 27, 36, 46, 57, 69, 82, 96, 111, 127, 144, 162, 181, 21, 42, 64, 87, 111, 136, 162, 189, 217, 246, 276, 37, 69, 12, 46, 81, 117, 154, 192, 231, 271, 312, 354, 397, 441, 486, 532, 579, 627, 676, 726, 777, 829, 882, 936, 991, 147, 24, 82, 141, 21, 82, 144, 27, 91, 156, 222, 289
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OFFSET
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0,3
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COMMENTS
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Zeroless analog of triangular numbers.
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LINKS
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MAPLE
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noz:=proc(n) local a, t1, i, j; a:=0; t1:=convert(n, base, 10); for i from 1 to nops(t1) do j:=t1[nops(t1)+1-i]; if j <> 0 then a := 10*a+j; fi; od: a; end;
t1:=[0]; for n from 1 to 50 do t1:=[op(t1), noz(n+t1[n])]; od: t1;
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MATHEMATICA
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noz[n_] := FromDigits[DeleteCases[IntegerDigits[n], 0]];
Block[{n = 0}, NestList[noz[++n+#] &, 0, 100]] (* Paolo Xausa, Apr 17 2024 *)
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PROG
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(Python)
from itertools import count, islice
def noz(n): return int(str(n).replace("0", ""))
def agen(): # generator of terms
yield (an:=0)
yield from (an:=noz(n+an) for n in count(1))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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