30254

Appears in sequences

• a(n) = round(n*phi^20), where phi is the golden ratio, A001622.at n=2A004955
• a(n) = ceiling(n*phi^20), where phi is the golden ratio, A001622.at n=2A004975
• Fibonacci sequence beginning 2, 6.at n=19A022112
• Sum of squares of numbers in row n of array T given by A026758.at n=8A027237
• Numerators of continued fraction convergents to sqrt(500).at n=9A041954
• Gilda's numbers: numbers k such that if a Fibonacci sequence is formed with first term = a certain absolute value between decimal digits in k (A007953) and second term = sum of decimal digits in k (A040997), then k itself occurs as a term in the sequence.at n=22A042947
• Sum of Lucas numbers and reflected Lucas numbers (comment to A061084).at n=20A075091
• Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both prime.at n=26A085775
• Numbers n such that 2*10^n + 8*R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=15A102963
• a(n) = gcd(Lucas(n)+1, Fibonacci(n)+1).at n=40A115313
• Expansion of 1/(1-x-x^4-x^6).at n=29A120446
• Half-indexed Lucas numbers second version L(n)=A000032=Lucas numbers a(0)=2, a(1)=2, a(2)=1, a(3)=2, a(4)=3, a(5)=3, a(2n)=L(n), for n>2: a(2n+1)=L(n)+L(n-3)=2*L(n-1) for n>5: a(n)+a(n+2)=a(n+4) a(2n)=L(n), so a(n)=L(n/2).at n=43A127218
• Number of nondecreasing integer sequences of length 20 with sum zero and sum of absolute values 2n.at n=14A158154
• Number of binary strings of length n with no substrings equal to 0000, 0001 or 1001.at n=20A164413
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 222", based on the 5-celled von Neumann neighborhood.at n=41A270940
• a(n) = 3*a(n-2) - a(n-4) for n > 3, with a(0)=4, a(1)=3, a(2)=a(3)=6, a sequence related to bisections of Fibonacci numbers.at n=20A292616
• Numbers k such that A003415(k) >= A276086(k) and gcd(k, A003415(k)) = gcd(k, A276086(k)), where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function.at n=37A369959
• Numbers k such that (A276086(k)/s)^s >= k^(s-1) and A276086(k) <= A003415(k), where A003415 is the arithmetic derivative, A276086 is the primorial base exp-function, and s = bigomega(k).at n=40A370128