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A352740 Irregular table T(n, k) read by rows; the n-th 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 (list; graph; refs; listen; history; text; internal format)
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, n-1, 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

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Last modified February 7 06:02 EST 2023. Contains 360112 sequences. (Running on oeis4.)