8950

Properties

Appears in sequences

• Numbers k such that the continued fraction for sqrt(k) has period 70.at n=33A020409
• Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=18A031947
• Decimal part of a(n)^(1/4) starts with a 'nine digits' anagram.at n=3A034279
• Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=18A049357
• Sum of terms in n-th group in A075352.at n=42A075356
• Sums of groups in A075643.at n=23A075645
• Sum of numbers in n-th upward diagonal of triangle in A079823.at n=38A079824
• a(1) = 1, a(n) = smallest multiple of n such that the concatenation (n>1) a(n)a(n-1)... a(2) a(1) is a prime.at n=49A089330
• Consider the family of multigraphs enriched by the species of linear order. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n edges, arcs and loops.at n=28A098288
• Number of n X n binary matrices with every 1 adjacent to some 0 and every 0 adjacent to some 1, horizontally or vertically.at n=2A133792
• Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 110-111-110 pattern in any orientation.at n=10A146267
• Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 110-111-110 pattern in any orientation.at n=23A146269
• a(n) = (2*n^3 + 5*n^2 - 5*n)/2.at n=19A162265
• Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.at n=12A179130
• Sum of first k numbers in column k of the natural number array A000027; by antidiagonals.at n=19A185787
• Number of 3X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 3 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=44A192701
• T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nXk array.at n=29A220922
• Majority value maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 2Xn array.at n=6A220923
• a(n) = number of new distinct proper angles with vertex and legs on grid points in an n X n square grid that were not found in an (n-1) X (n-1) square grid.at n=25A252592
• Solution to 1 = Sum_y Product_{k in y} a(k) for each n > 0, where the sum is over all integer partitions of n with an odd number of parts.at n=42A300862