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User:Rajesh Kumar Mohapatra

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Personal Details

Born in 1994.

Ph.D. in Mathematics, Pondicherry University-605014

I have joined OEIS in October 2019.

  • Email Id: mohapatrarajesh030@gmail.com

Publications listed in:

Interests

  • Basic Combinatorics (enumeration)
  • Matrix Theory
  • Partition Theory
  • Fuzzy Set Theory and Its Applications

Approved Sequences (10)

  • A328044: Number of chains of binary matrices of order n.
  • A329712: The number of rooted chains in the lattice of (0, 1) matrices of order n.
  • A330301: Number of chains of binary reflexive matrices of order n.
  • A329911: The number of rooted chains of reflexive matrices of order n.
  • A330302: Number of chains of 2-element subsets of {0,1, 2, ..., n} that contain no consecutive integers.
  • A330032: The number of chains of strictly rooted upper triangular or lower triangular matrices of order n.
  • A331955: Triangle T(n,k) of number of chains of length k in partitions of an n-set ordered by refinement.
  • A330804: Number of chains in partitions of [n] ordered by refinement.
  • A331956: Triangle T(n,k) read by rows: number of rooted chains of length k in set partitions of n labeled points.
  • A331957: Number of rooted chains in set partitions of {1, 2, ..., n}.

Comments/Edits On Sequences (3)

  • A038719: Triangle T(n,k) (0<=k<=n) giving number of chains of length k in partially ordered set formed from subsets of n-set by inclusion.
  • A005461: Number of simplices in barycentric subdivision of n-simplex.
  • A028246: Triangular array a(n,k) = (1/k)*Sum_{i=0..k} (-1)^(k-i)*binomial(k,i)*i^n; n >= 1, 1 <= k <= n, read by rows.