

A352740


Irregular table T(n, k) read by rows; the nth row contains, in ascending order, the numbers k < n such that for any base b >= 2, the sum of digits of n and k in base b are different.


2



0, 0, 0, 2, 0, 3, 0, 4, 0, 0, 4, 6, 0, 6, 7, 0, 7, 8, 0, 8, 0, 6, 8, 9, 10, 0, 11, 0, 12, 0, 10, 12, 0, 8, 12, 14, 0, 13, 15, 0, 14, 15, 16, 0, 15, 16, 0, 16, 17, 18, 0, 19, 0, 20, 0, 0, 12, 16, 18, 20, 21, 22, 0, 23, 0, 24, 0, 18, 24, 0, 14, 21, 24, 25, 26
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OFFSET

1,4


COMMENTS

A352671 gives row lengths.


LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10302 (rows for n = 1..2000, flattened)
Rémy Sigrist, Scatterplot of (x, y) such that x, y <= 1000 and for any base b >= 2, the sum of digits of x and y in base b are different


FORMULA

T(n, 1) = 0.


EXAMPLE

irregular table begins:
1: [0]
2: [0]
3: [0, 2]
4: [0, 3]
5: [0, 4]
6: [0]
7: [0, 4, 6]
8: [0, 6, 7]
9: [0, 7, 8]
10: [0, 8]


PROG

(PARI) row(n) = { my (v=[]); for (k=0, n1, my (ok=1); for (b=2, max(2, n+1), if (sumdigits(n, b)==sumdigits(k, b), ok=0; break)); if (ok, v=concat(v, k))); v }


CROSSREFS

Cf. A216789, A352671 (row lengths).
Sequence in context: A137303 A049084 A234580 * A108416 A215395 A338569
Adjacent sequences: A352737 A352738 A352739 * A352741 A352742 A352743


KEYWORD

nonn,base,tabf


AUTHOR

Rémy Sigrist, Mar 31 2022


STATUS

approved



