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A288528
Numbers with consecutive positive decimal digits after the digits are sorted.
2
1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 21, 23, 32, 34, 43, 45, 54, 56, 65, 67, 76, 78, 87, 89, 98, 123, 132, 213, 231, 234, 243, 312, 321, 324, 342, 345, 354, 423, 432, 435, 453, 456, 465, 534, 543, 546, 564, 567, 576, 645, 654, 657, 675, 678, 687, 756, 765, 768, 786, 789, 798, 867, 876, 879, 897, 978, 987
OFFSET
1,2
COMMENTS
The last term is a(462331) = 987654321.
Observation: the number of terms mentioned above is also A014145(9). Also the sum of the 9th row in the triangle A288777.
It appears that the number of terms with k digits in this sequence is also A288777(9,k), k>=1.
LINKS
PROG
(Python)
def ok(n): return "".join(sorted(str(n))) in "123456789"
print([k for k in range(999) if ok(k)]) # Michael S. Branicky, Aug 04 2022
(Python) # alternate for generating full sequence instantly
from itertools import permutations
frags = ["123456789"[i:j] for i in range(9) for j in range(i+1, 10)]
afull = sorted(int("".join(s)) for f in frags for s in permutations(f))
print(afull[:70]) # Michael S. Branicky, Aug 04 2022
CROSSREFS
Subsequence of A215014.
Supersequence of A138141.
Sequence in context: A308561 A095160 A356350 * A352927 A376772 A376773
KEYWORD
nonn,base,easy,fini
AUTHOR
Omar E. Pol, Jun 15 2017
STATUS
approved