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A085943 Let S = 123456789101112131415..., the concatenation of the natural numbers; partition this string into distinct squarefree numbers. To avoid leading zeros, no number may end at the digit that comes before a 0 in S. +0
2
1, 2, 3, 4567, 89, 10, 11, 1213, 14, 15, 161, 7, 181, 9202, 122, 23, 242526, 27282, 930, 31, 323, 33, 43, 5, 3637, 38, 39, 404142, 434, 445, 46, 47, 4849, 505, 15253, 545, 55, 6, 57, 58, 59, 606, 1626, 3646, 566, 67, 6869, 70, 71, 727, 37, 4757, 677, 78, 79, 8081, 82 (list; graph; listen)
OFFSET

0,2

EXAMPLE

a(18) = 27282 because 27282 is squarefree, while 27, 272 and 2728 are not and 2 has already been used.

a(19) = 930 because 9 is not squarefree and 93 would cause a(20) to have a leading 0.

CROSSREFS

Sequence in context: A038104 A097301 A020345 this_sequence A068661 A068826 A085944

Adjacent sequences: A085940 A085941 A085942 this_sequence A085944 A085945 A085946

KEYWORD

base,easy,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 14 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 14 2005

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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