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Search: id:A063432
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| A063432 |
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Triangle read by rows in which k-th entry in row n is representation of n in base k, for 1 <= k <= n. |
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7
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| 1, 11, 10, 111, 11, 10, 1111, 100, 11, 10, 11111, 101, 12, 11, 10, 111111, 110, 20, 12, 11, 10, 1111111, 111, 21, 13, 12, 11, 10, 11111111, 1000, 22, 20, 13, 12, 11, 10, 111111111, 1001, 100, 21, 14, 13, 12, 11, 10, 1111111111, 1010, 101, 22, 20, 14, 13
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Representation of n in base 1 is defined to be a concatenation of n 1's.
It is difficult to write twenty-one in base 11 using decimal digits.
Representation in bases greater than 10 are written in base 10. This is really nasty! - N. J. A. Sloane (njas(AT)research.att.com), Dec 06, 2002
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EXAMPLE
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Rows start (1), (11, 10), (111, 11, 10), (1111, 100, 11, 10), etc.
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MATHEMATICA
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f[n_] := Flatten[ Append[ {FromDigits[ Table[1, {n}]] }, Table[ FromDigits[ IntegerDigits[n, i]], {i, 2, n}]]]; Flatten[ Table[ f[n], {n, 1, 10}]] (Robert G. Wilson v)
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CROSSREFS
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Cf. A063431.
Rows are effectively the reverse of A001731, A001732, A001733, A001734, A001735, A001736, A008707, A008708, A008709, A008710, A008711, A008712, A008713, A008714, A008715, A008716, A008717 etc.
Columns are trucated versions of A000042, A007088, A007089, A007090, A007091, A007092, A007093, A007094, A007095, A000027 and perhaps A055649 etc.
Sequence in context: A105028 A014550 A070836 this_sequence A038324 A164125 A004289
Adjacent sequences: A063429 A063430 A063431 this_sequence A063433 A063434 A063435
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KEYWORD
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base,nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 20 2001
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