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 A281916 5th power analog of Keith numbers. 6
 1, 28, 35, 36, 46, 51, 99, 109, 191, 239, 476, 491, 1022, 1126, 1358, 1362, 15156, 21581, 44270, 63377, 100164, 375830, 388148, 2749998, 5215505, 10158487, 81082532, 87643314, 410989134, 1485204944, 3496111364, 3829840893, 15889549579, 16107462404, 16766005098, 17608009898 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Like Keith numbers but starting from n^5 digits to reach n. Consider the digits of n^5. Take their sum and repeat the process deleting the first addend and adding the previous sum. The sequence lists the numbers that after some number of iterations reach a sum equal to n. LINKS EXAMPLE 109^5 = 15386239549: 1 + 5 + 3 + 8 + 6 + 2 + 3 + 9 + 5 + 4 + 9 = 55; 5 + 3 + 8 + 6 + 2 + 3 + 9 + 5 + 4 + 9 + 55 = 109. MAPLE with(numtheory): P:=proc(q, h, w) local a, b, k, t, v; global n; v:=array(1..h); for n from 1 to q do b:=n^w; a:=[]; for k from 1 to ilog10(b)+1 do a:=[(b mod 10), op(a)]; b:=trunc(b/10); od; for k from 1 to nops(a) do v[k]:=a[k]; od; b:=ilog10(n^w)+1; t:=nops(a)+1; v[t]:=add(v[k], k=1..b); while v[t]

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Last modified June 5 01:27 EDT 2020. Contains 334828 sequences. (Running on oeis4.)