-1225

Appears in sequences

• Determinant of n X n matrix defined by m(i,j)=1 if i^2+j^2 is a prime, m(i,j)=0 otherwise.at n=41A071524
• Signed triangle of D'Arcais numbers (A008298) : coefficients of r in the polynomials generated by the series coefficients of z^n in Product[(1-z^k)^r, {k,1,Inf}]*(n!).at n=33A078521
• Alternating sum of squares to n.at n=48A089594
• Triangle read by rows: coefficients of Yablonskii-Vorob'ev polynomials.at n=14A092766
• T(n, k) = Stirling1(n+1, k) - Stirling1(n, k-1), for 1 <= k <= n. Triangle read by rows.at n=25A094485
• Matrix inverse of the Narayana triangle A001263.at n=24A103364
• Determinant of the n X n (0,1)-matrix with (i,j)-entry equal to 1 if and only if i + j is 2 or an odd composite number.at n=21A228591
• Alternating sum of cubes, i.e., Sum_{k=0..n} k^p*q^k for p=3, q=-1.at n=13A232599
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 5", based on the 5-celled von Neumann neighborhood.at n=17A270009
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 7", based on the 5-celled von Neumann neighborhood.at n=17A270013
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 73", based on the 5-celled von Neumann neighborhood.at n=17A270090
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 89", based on the 5-celled von Neumann neighborhood.at n=17A270132
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 177", based on the 5-celled von Neumann neighborhood.at n=23A270621
• Alternating sum of centered 25-gonal numbers.at n=13A270693
• Hankel transform of A033434.at n=50A283439
• Triangle read by rows, the coefficients of the polynomials generating the columns of A287316.at n=17A287314
• Irregular triangle read by rows of normalized Girard-Waring formula (cf. A210258), for m=7 data values.at n=42A288245
• E.g.f.: Product_{k>0} (1-x^k/k!)^k.at n=7A294495
• Expansion of Sum_{k>=1} mu(k)*log(1 + x^k/(1 - x^k)^3)/k.at n=31A308290
• A signed variant of A309132.at n=34A326582