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 A281915 4th power analog of Keith numbers. 9
 1, 7, 19, 20, 22, 25, 28, 36, 77, 107, 110, 175, 789, 1528, 1932, 3778, 5200, 7043, 8077, 38855, 41234, 44884, 49468, 204386, 763283, 9423515, 73628992, 87146144, 146124072, 146293356, 326194628, 1262293219, 1321594778, 2767787511, 11511913540, 12481298961, 13639550655 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Like Keith numbers but starting from n^4 digits to reach n. Consider the digits of n^4. 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 175^4 = 937890625: 9 + 3 + 7 + 8 + 9 + 0 + 6 + 2 + 5 = 49; 3 + 7 + 8 + 9 + 0 + 6 + 2 + 5 + 49 = 89; 7 + 8 + 9 + 0 + 6 + 2 + 5 + 49 + 89 = 175. 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 January 19 20:48 EST 2022. Contains 350466 sequences. (Running on oeis4.)