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A132291 Base 10 strong Skolem-Langford numbers. 7

%I #21 Feb 13 2023 12:28:44

%S 12132003,23121300,30023121,31213200,1214230043,1312432004,2342131400,

%T 2412134003,3004312142,3400324121,4002342131,4131243200,

%U 1213267345006475,1213275364005746,1214267540036573,1214273645300765,1214275640035763,1215247365430076

%N Base 10 strong Skolem-Langford numbers.

%C Self-describing numbers: between two digits "d" there are d digits.

%C a(n) has either 0 or 2 instances of any digit, hence even number of digits.

%C "Strong" means that every digit from 0 to the largest digit of a(n) must be present in a(n). See A108116 for the "weak" variant without this additional constraint.

%C Number of digits of a(n) == 0 or 2 (mod 8)

%C Largest element is a(2820) = 867315136875420024.

%H D. Wilson, <a href="/A132291/b132291.txt">Complete table of n, a(n) for n = 1..2820</a>

%o (Python)

%o def A132291gen(): # SL() is in A108116

%o for numd in range(1, 11):

%o dset = ("0123456789")[:numd]

%o s = [0 for _ in range(2*numd)]

%o for an in sorted(SL(dset, s)):

%o yield an

%o for n, an in enumerate(A132291gen(), start=1):

%o print(n, an) # _Michael S. Branicky_, Dec 14 2020

%Y Base 10 Skolem-Langford numbers are in A108116.

%Y Base 10 weaker Skolem-Langford numbers are in A357826.

%K base,easy,fini,full,nonn

%O 1,1

%A _Eric Angelini_, Jun 26 2005, Aug 10 2007

%E Edited by _N. J. A. Sloane_, Nov 18 2007

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Last modified August 15 03:46 EDT 2024. Contains 375172 sequences. (Running on oeis4.)