230230

Appears in sequences

• Figurate numbers or binomial coefficients C(n,6).at n=26A000579
• a(n) = binomial coefficient C(2n, n-7).at n=6A004313
• Binomial coefficient C(26,n).at n=6A010942
• Binomial coefficient C(26,n).at n=20A010942
• a(n) = binomial(n,20).at n=6A010973
• Binomial coefficients: C(n,k), 6 <= k <= n-6, sorted, duplicates removed.at n=33A024758
• Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,3,0.at n=5A037631
• Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n-1)/2.at n=25A047176
• Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n-2)/2.at n=25A047187
• a(n) = binomial(n, floor(n/4)).at n=26A051036
• Binomial coefficients C(2*n+6,6).at n=10A053135
• Successive maxima in sequence A007365.at n=33A065933
• Integers which have more than one coprime factorization into nonprime powers which sum to the same number.at n=31A072940
• Number of peaks at even level in all symmetric Dyck paths of semilength n+2.at n=16A088662
• Number triangle T(n,k)=binomial(2(n+k),4k).at n=41A111805
• On the standard 33-hole cross-shaped peg solitaire board, the number of distinct board positions after n jumps that can still be reduced to one peg at the center (starting with the center vacant).at n=15A112738
• On the standard 33-hole cross-shaped peg solitaire board, the number of distinct board positions after n jumps that can still be reduced to one peg at the center (starting with the center vacant).at n=16A112738
• Triangle, read by rows, where T(n,k) = C( n*(n+1)/2 + n-k - 1, n-k), for n>=k>=0.at n=21A122178
• a(n) = core(A143176(n)).at n=45A144362
• Triangle T(n, k, m) = round( Product_{j=0..m} binomial(2*(n+j), 2*(k+j))/binomial( 2*(n-k+j), 2*j) ), where m = 9, read by rows.at n=11A156742