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A350349
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Lexicographically earliest increasing sequence of positive integers such that the Hankel matrix of any odd number of consecutive terms is invertible.
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3
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1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 25, 26, 27, 28, 30, 31, 32, 33, 35, 36, 38, 39, 42, 43, 44, 45, 47, 48, 49, 50, 52, 53, 55, 56, 57, 58, 60, 61, 62, 63, 66, 67, 68, 69, 71, 72, 73, 74, 76, 77, 80, 81, 82, 83, 85, 86, 87, 88, 90
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OFFSET
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1,2
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LINKS
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PROG
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(Python)
from sympy import Matrix
from itertools import count
a=[1]
for n in range(1, nmax):
a.append(next(k for k in count(a[-1]+1) if all(Matrix((n-r)//2+1, (n-r)//2+1, lambda i, j:(a[r:]+[k])[i+j]).det()!=0 for r in range(n-2, -1, -2))))
return a
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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