A065346 -id:A065346 - cp's OEIS frontend

A065349 Positions of zeros in A065346.

19, 41, 42, 43, 49, 50, 53, 54, 55, 58, 67, 71, 74, 75, 95, 97, 98, 99, 102, 103, 123, 135, 138, 139, 145, 149, 153, 154, 155, 159, 163, 165, 166, 167, 168, 169, 170, 173, 174, 175, 178, 179, 180, 183, 184, 185, 191, 193, 194, 195, 197, 198, 199, 200, 201, 202

Offset: 1

Labos Elemer, Oct 30 2001

nonn

Harry J. Smith, Table of n, a(n) for n = 1..1000
C. Pomerance, Divisors of the middle binomial coefficient, Amer. Math. Monthly, 112 (2015), 636-644.

Cf. A000108, A065344, A065345, A065346, A065347, A065348.

ris = {}; Do[If[Mod[Binomial[2 n, n], (n + 1) (n + 2) (n + 3) (n + 4)] == 0, AppendTo[ris, n]], {n, 250}]; ris (* Bruno Berselli, Jan 06 2014 *)

isok(k) = { binomial(2*k, k) % ((k + 1)*(k + 2)*(k + 3)*(k + 4)) == 0 } \\ Harry J. Smith, Oct 17 2009

A065344 a(n) = binomial(2n,n) mod ((n+1)(n+2)).

Original entry on oeis.org

2, 6, 0, 10, 0, 28, 48, 0, 0, 88, 0, 0, 140, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 468, 0, 0, 580, 0, 496, 704, 0, 0, 420, 0, 0, 494, 0, 0, 574, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4320, 0, 0, 4648, 0, 0, 4988, 0, 0

Offset: 1

Labos Elemer, Oct 30 2001

nonn

Harry J. Smith, Table of n, a(n) for n = 1..1000
C. Pomerance, Divisors of the middle binomial coefficient, Amer. Math. Monthly, 112 (2015), 636-644.

Cf. A000108, A065345, A065346, A065347, A065348, A065349.

Table[Mod[Binomial[2 n, n], (n + 1) (n + 2)], {n, 100}] (* Bruno Berselli, Jan 06 2014 *)

a(n) = { binomial(2*n, n) % ((n + 1)*(n + 2)) } \\ Harry J. Smith, Oct 17 2009

A065345 a(n) = binomial(2n,n) mod ((n+1)(n+2)*(n+3)).

Original entry on oeis.org

2, 6, 20, 70, 252, 420, 552, 0, 1100, 1144, 0, 1456, 1400, 2040, 2448, 0, 3420, 0, 0, 0, 6072, 5520, 0, 5850, 13104, 0, 12992, 17980, 22320, 27280, 5984, 7854, 7140, 15540, 0, 36556, 13832, 0, 45920, 24682, 0, 0, 0, 0, 51888, 0, 23520, 0, 0, 0, 0, 94446, 0, 0, 0

Offset: 1

Labos Elemer, Oct 30 2001

nonn

Harry J. Smith, Table of n, a(n) for n = 1..1000
C. Pomerance, Divisors of the middle binomial coefficient, Amer. Math. Monthly, 112 (2015), 636-644.

Cf. A000108, A065344, A065346, A065347, A065348, A065349.

Table[Mod[Binomial[2 n, n], (n + 1) (n + 2) (n + 3)], {n, 60}] (* Harvey P. Dale, Feb 21 2012 *)

a(n) = { binomial(2*n, n) % ((n + 1)*(n + 2)*(n + 3)) } \\ Harry J. Smith, Oct 17 2009

A065347 Positions of zeros in A065344, i.e., binomial(2n,n) mod ((n+1)*(n+2)) = 0.

Original entry on oeis.org

3, 5, 8, 9, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 29, 32, 33, 35, 36, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 83, 84, 86, 87, 89, 90

Offset: 1

Labos Elemer, Oct 30 2001

nonn

Harry J. Smith, Table of n, a(n) for n = 1..1000
C. Pomerance, Divisors of the middle binomial coefficient, Amer. Math. Monthly, 112 (2015), 636-644.

Cf. A000108, A065344, A065345, A065346, A065348, A065349.

ris = {}; Do[If[Mod[Binomial[2 n, n], (n + 1) (n + 2)] == 0, AppendTo[ris, n]], {n, 100}]; ris (* Bruno Berselli, Jan 06 2014 *)

isok(k) = { binomial(2*k, k) % ((k + 1)*(k + 2)) == 0 } \\ Harry J. Smith, Oct 17 2009

A065348 Positions of zeros in A065345.

Original entry on oeis.org

8, 11, 16, 18, 19, 20, 23, 26, 35, 38, 41, 42, 43, 44, 46, 48, 49, 50, 51, 53, 54, 55, 56, 58, 59, 60, 64, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 80, 83, 86, 89, 92, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 107, 110, 113, 116, 119, 123, 124, 128, 130, 131, 134

Offset: 1

Labos Elemer, Oct 30 2001

nonn

Harry J. Smith, Table of n, a(n) for n = 1..1000
Carl Pomerance, Divisors of the middle binomial coefficient, Amer. Math. Monthly, 112 (2015), 636-644.

Cf. A000108, A065344, A065345, A065346, A065347, A065349.

ris = {}; Do[If[Mod[Binomial[2 n, n], (n + 1) (n + 2) (n + 3)] == 0,
AppendTo[ris, n]], {n, 150}]; ris (* Bruno Berselli, Jan 06 2014 *)

isok(k) = { binomial(2*k, k) % ((k + 1)*(k + 2)*(k + 3)) == 0 } \\ Harry J. Smith, Oct 17 2009

cp's OEIS Frontend

A065349 Positions of zeros in A065346.

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A065344 a(n) = binomial(2*n,n) mod ((n+1)*(n+2)).

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Author

Keywords

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Crossrefs

Programs

Mathematica

PARI

A065345 a(n) = binomial(2*n,n) mod ((n+1)*(n+2)*(n+3)).

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

PARI

A065347 Positions of zeros in A065344, i.e., binomial(2n,n) mod ((n+1)*(n+2)) = 0.

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Author

Keywords

Links

Crossrefs

Programs

Mathematica

PARI

A065348 Positions of zeros in A065345.

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

PARI

A065344 a(n) = binomial(2n,n) mod ((n+1)(n+2)).

A065345 a(n) = binomial(2n,n) mod ((n+1)(n+2)*(n+3)).