Search: seq:1,0,1,1,2,4,8,17,37,82
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Sorry, but the terms do not match anything in the table.
The following advanced matches exist for the numeric terms in your query.
If your sequence is of general interest, please submit it using the form provided and it will (probably) be added to the OEIS! Include a brief description and if possible enough terms to fill 3 lines on the screen. We need at least 4 terms.
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| | Approximate matches
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These sequences are 1 character edit (insertion, deletion, or replacement) away from the query.
- A025241 Essentially same as A004148.
(1, 1, 1, 1, 2, 4, 8, 17, 37, 82)
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| | Overlapping matches
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These sequences have significant overlap with the query.
- A024557 a(n) = [ a(n-1)/(sqrt(6) - 2) ], where a(0) = 1.
(1, 2, 4, 8, 17, 37, 82)
- A199409 G.f. satisfies: A(x) = Sum_{n>=0} A(x)^n * x^(n^2) * (1 - x^(2*n+1))/(1 - x).
(1, 1, 2, 4, 8, 17, 37, 82)
- A222011 Dimensions of finite-dimensional real division algebras.
(1, 2, 4, 8)
- A292460 Expansion of (1 - x - x^2 - sqrt((1 - x - x^2)^2 - 4*x^3))/(2*x^3) in powers of x.
(1, 1, 2, 4, 8, 17, 37, 82)
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| | Transformations to other sequences
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These sequences match transformations of the original query.
a(n), dropping leading 0s and 1s
= 2, 4, 8, 17, 37, 82
- A004148 Generalized Catalan numbers: a(n+1) = a(n) + Sum_{k=1..n-1} a(k)*a(n-1-k).
(2, 4, 8, 17, 37, 82)
- A025241 Essentially same as A004148.
(2, 4, 8, 17, 37, 82)
- A085022 Integer floor of coefficients of exp(x*A(x)).
(2, 4, 8, 17, 37, 82)
- A203019 Number of elevated peakless Motzkin paths.
(2, 4, 8, 17, 37, 82)
- A292461 Expansion of (1 - x - x^2 + sqrt((1 - x - x^2)^2 - 4*x^3))/2 in powers of x.
(-2, -4, -8, -17, -37, -82)
deltas matching: a(n), dropping leading 0s and 1s
= 2, 4, 8, 17, 37, 82
- A110334 Number of peakless Motzkin paths of length n having no valleys (i.e., (1,-1) followed by (1,1)) at level zero (can be easily translated into RNA secondary structure terminology).
(2, 4, 8, 16, 33, 70, 152)
- A179807 Antidiagonal sums of A175105.
(3, 5, 9, 17, 34, 71, 153)
- A299271 Number of Motzkin paths of length n with all ascents ending at odd heights.
(2, 4, 8, 16, 33, 70, 152)
- A317880 Number of series-reduced free pure symmetric identity multifunctions (with empty expressions allowed) with one atom and n positions.
(2, 4, 8, 16, 33, 70, 152)
a(n)-1, after dropping leading 0s and 1s
= 1, 3, 7, 16, 36, 81
- A033303 Expansion of (1 + x)/(1 - 2*x - x^2 + x^3).
(1, 3, 7, 16, 36, 81)
- A078056 Expansion of (1-x)/(1+2*x-x^2-x^3).
(1, -3, 7, -16, 36, -81)
deltas matching: a(n)-1, after dropping leading 0s and 1s
= 1, 3, 7, 16, 36, 81
- A286062 a(n) = 2*a(n-1) + a(n-2) - a(n-3), where a(0) = 2, a(1) = 3, a(2) = 6.
(2, 3, 6, 13, 29, 65, 146)
- A290990 p-INVERT of the nonnegative integers (A000027), where p(S) = 1 - S - S^2.
(1, 2, 5, 12, 28, 64, 145)
a(n) for odd n
= 1, 1, 2, 8, 37
- A020130 Ceiling of GAMMA(n+1/5)/GAMMA(1/5).
(1, 1, 2, 8, 37)
- A289316 The number of upper-triangular matrices whose nonzero entries are positive odd numbers summing to n and each row contains a nonzero entry.
(1, 1, 2, 8, 37)
- A289541 Number of subspaces of GF(2)^n with even dimension.
(1, 1, 2, 8, 37)
- A305547 Expansion of e.g.f. Product_{k>=1} (1 + (exp(x) - 1)^k/k!).
(1, 1, 2, 8, 37)
- A317873 Number of digits in 2^(n!).
(1, 1, 2, 8, 37)
- ... 6 total
deltas matching: a(n) for even n
= 0, 1, 4, 17, 82
- A113227 Number of permutations avoiding the pattern 1-23-4.
(1, 1, 2, 6, 23, 105)
- A165489 Eigensequence of triangle A084938.
(1, 1, 2, 6, 23, 105)
- A192315 G.f. A(x) satisfies: A(x)^2 = Sum_{n>=0} x^n*A(x)^(2^n).
(1, 1, 2, 6, 23, 105)
- A352367 Row sums of A352366.
(1, 1, 2, 6, 23, 105)
coefficients of Sn(z)^2
= 1, 0, 2, 2, 5, 10, 21, 46, 102, 230
Sn(z) denotes the ordinary generating function with coefficients a(n).
- A075125 Number of parallelogram polyominoes of site-perimeter n (also called staircase polyominoes, although that term is overused).
(1, 0, 2, 2, 5, 10, 21, 46, 102, 230)
a(n+2) - a(n+1) - a(n)
= 0, 0, 0, -1, -2, -5, -12, -28
- A006979 a(n) is the number of compositions of n in which the maximum part size is 5.
(0, 0, 0, 1, 2, 5, 12, 28)
- A118898 Number of binary sequences of length n containing exactly one subsequence 0000.
(0, 0, 0, 1, 2, 5, 12, 28)
- A166297 Number of UUDUDD's starting at level 0 in all Dyck paths of semilength n with no UUU's and no DDD's (U=(1,1), D=(1,-1)).
(0, 0, 0, 1, 2, 5, 12, 28)
- A228638 Determinant of the n X n matrix with (i,j)-entry equal to 1 or 0 according as |i-j| is prime or not.
(0, 0, 0, 1, 2, -5, 12, -28)
deltas matching: a(n+2) - a(n+1) - a(n)
= 0, 0, 0, 1, 2, 5, 12, 28
- A018791 Number of subsets of { 1, ..., n } containing an A.P. of length 6.
(0, 0, 0, 0, 1, 3, 8, 20, 48)
- A018792 Number of subsets of { 1, ..., n } containing an A.P. of length 7.
(0, 0, 0, 0, 1, 3, 8, 20, 48)
- A018793 Number of subsets of { 1, ..., n } containing an A.P. of length 8.
(0, 0, 0, 0, 1, 3, 8, 20, 48)
- A018794 Number of subsets of { 1, ..., n } containing an A.P. of length 9.
(0, 0, 0, 0, 1, 3, 8, 20, 48)
- A018795 Number of subsets of { 1, ..., n } containing an A.P. of length 10.
(0, 0, 0, 0, 1, 3, 8, 20, 48)
- ... 8 total
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