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A241202
Beginning of a polynomial relation of degree n in n+2 terms in the first half of Pascal's triangle. See
A241201
.
1
1, 2, 26, 9, 149, 489
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OFFSET
1,2
COMMENTS
Is this sequence finite?
LINKS
Table of n, a(n) for n=1..6.
MATHEMATICA
t = Table[k = 1; While[b = Binomial[k, Range[0, k/2]]; d = Differences[b, n + 1]; ! MemberQ[d, 0], k++]; {k, Position[d, 0, 1, 1][[1, 1]] - 1}, {n, 6}]; Transpose[t][[2]]
CROSSREFS
Cf.
A008865
(binomial(n,k) has 3 consecutive terms in a linear relation).
Cf.
A062730
(3 terms in arithmetic progression in Pascal's triangle).
Cf.
A241199
,
A241200
(similar, but quadratic).
Sequence in context:
A056948
A292359
A035420
*
A278479
A351921
A374183
Adjacent sequences:
A241199
A241200
A241201
*
A241203
A241204
A241205
KEYWORD
nonn
,
more
AUTHOR
T. D. Noe
, Apr 21 2014
STATUS
approved
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Last modified August 26 05:03 EDT 2024. Contains 375454 sequences. (Running on oeis4.)