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A240236
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Triangle read by rows: sum of digits of n in base k, for 2<=k<=n.
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7
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1, 2, 1, 1, 2, 1, 2, 3, 2, 1, 2, 2, 3, 2, 1, 3, 3, 4, 3, 2, 1, 1, 4, 2, 4, 3, 2, 1, 2, 1, 3, 5, 4, 3, 2, 1, 2, 2, 4, 2, 5, 4, 3, 2, 1, 3, 3, 5, 3, 6, 5, 4, 3, 2, 1, 2, 2, 3, 4, 2, 6, 5, 4, 3, 2, 1, 3, 3, 4, 5, 3, 7, 6, 5, 4, 3, 2, 1, 3, 4, 5, 6, 4, 2, 7, 6, 5, 4, 3, 2, 1
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OFFSET
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2,2
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LINKS
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EXAMPLE
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Table starts:
1
2 1
1 2 1
2 3 2 1
2 2 3 2 1
3 3 4 3 2 1
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PROG
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(PARI) T(n, k) = local(r=0); if(k<2, -1, while(n>0, r+=n%k; n\=k); r)
(Haskell)
a240236 n k = a240236_tabl !! (n-1) !! (k-1)
a240236_row n = a240236_tabl !! (n-1)
a240236_tabl = zipWith (map . flip q)
[2..] (map tail $ tail a002260_tabl) where
q b n = if n < b then n else q b n' + d where (n', d) = divMod n b
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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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