Search: seq:1,3,6,15,42,126,396,1287,4290,14586
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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.
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| | Matches after removing first term
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These sequences match the terms with the first removed.
- A120589 Self-convolution of A120588, such that a(n) = 3*A120588(n) for n >= 2.
(3, 6, 15, 42, 126, 396, 1287, 4290, 14586)
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These sequences match transformations of the original query.
multiples of: a(n), dropping leading 0s and 1s
= 3, 6, 15, 42, 126, 396, 1287, 4290, 14586
- A000108 Catalan numbers: C(n) = binomial(2n,n)/(n+1) = (2n)!/(n!(n+1)!).
(1, 2, 5, 14, 42, 132, 429, 1430, 4862)
- A002420 Expansion of sqrt(1 - 4*x) in powers of x.
(-2, -4, -10, -28, -84, -264, -858, -2860, -9724)
- A068875 Expansion of (1 + x*C)*C, where C = (1 - (1 - 4*x)^(1/2))/(2*x) is the g.f. for Catalan numbers, A000108.
(2, 4, 10, 28, 84, 264, 858, 2860, 9724)
- A115140 O.g.f. inverse of Catalan A000108 o.g.f.
(-1, -2, -5, -14, -42, -132, -429, -1430, -4862)
- A115141 Convolution of A115140 with itself.
(-1, -2, -5, -14, -42, -132, -429, -1430, -4862)
- ... 20 total
multiples of: a(n) for even n
= 3, 15, 126, 1287, 14586
- A024491 a(n) = (1/(4n-1))*C(4n,2n).
(2, 10, 84, 858, 9724)
- A024492 Catalan numbers with odd index: a(n) = binomial(4*n+2, 2*n+1)/(2*n+2).
(1, 5, 42, 429, 4862)
a(n) * n
= 1, 6, 18, 60, 210, 756, 2772, 10296, 38610, 145860
- A144706 Central coefficients of the triangle A132047.
(1, 6, 18, 60, 210, 756, 2772, 10296, 38610, 145860)
a(n) - 2
= -1, 1, 4, 13, 40, 124, 394, 1285, 4288, 14584
- A171556 a(n)=3*C(n)-2, where C(n)=A000108(n).
(1, 1, 4, 13, 40, 124, 394, 1285, 4288, 14584)
inversion b(n) where 1 + sum b(n) x^n = 1 / (1 - sum a(n) x^n)
= 1, 4, 13, 46, 166, 610, 2269, 8518, 32206, 122464
- A026641 Number of nodes of even outdegree (including leaves) in all ordered trees with n edges.
(1, 4, 13, 46, 166, 610, 2269, 8518, 32206, 122464)
deltas matching: inversion b(n) where 1 + sum b(n) x^n = 1 / (1 - sum a(n) x^n)
= 1, 4, 13, 46, 166, 610, 2269, 8518, 32206, 122464
- A307354 a(n) = Sum_{0<=i<=j<=n} (-1)^(i+j) * (i+j)!/(i!*j!).
(1, 2, 6, 19, 65, 231, 841, 3110, 11628, 43834, 166298)
multiples of: inversion b(n) where 1 + sum b(n) x^n = 1 / (1 - sum a(n) x^n)
= 1, 4, 13, 46, 166, 610, 2269, 8518, 32206, 122464
- A026638 a(n) = A026637(2*n, n).
(2, 8, 26, 92, 332, 1220, 4538, 17036, 64412, 244928)
multiples of: cumulative sum of a(n), ignoring leading 0s and 1s
= 3, 9, 24, 66, 192, 588, 1875, 6165, 20751
- A014138 Partial sums of (Catalan numbers starting 1, 2, 5, ...).
(1, 3, 8, 22, 64, 196, 625, 2055, 6917)
- A099324 Expansion of (1 + sqrt(1 + 4x))/(2(1 + x)).
(-1, 3, -8, 22, -64, 196, -625, 2055, -6917)
multiples of: a(n), dropping 2 terms
= 6, 15, 42, 126, 396, 1287, 4290, 14586
- A228403 The number of boundary twigs for complete binary twigs. A twig is a vertex with one edge on the boundary and only one other descendant.
(4, 10, 28, 84, 264, 858, 2860, 9724)
multiples of: a(n), dropping 3 terms
= 15, 42, 126, 396, 1287, 4290, 14586
- A230585 First terms of first rows of zigzag matrices as defined in A088961.
(5, 14, 42, 132, 429, 1430, 4862)
deltas matching: a(n) / gcd, from the 2nd term
= 1, 2, 5, 14, 42, 132, 429, 1430, 4862
- A014137 Partial sums of Catalan numbers (A000108).
(1, 2, 4, 9, 23, 65, 197, 626, 2056, 6918)
- A106271 Row sums of number triangle A106270.
(1, 0, -2, -7, -21, -63, -195, -624, -2054, -6916)
- A155587 Expansion of (1 + x*c(x))/(1 - x), where c(x) is the g.f. of A000108.
(2, 3, 5, 10, 24, 66, 198, 627, 2057, 6919)
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