34580

Appears in sequences

• a(n) = Sum_{d|n, d==1 mod 4} d^3 - Sum_{d|n, d==3 mod 4} d^3.at n=32A050459
• a(n) = Sum_{d|n, n/d=1 mod 4} d^3 - Sum_{d|n, n/d=3 mod 4} d^3.at n=32A050471
• Jordan function J_3(n).at n=32A059376
• Sequence of sums based on primes = 7 mod 8.at n=38A060108
• Multiplicative with a(p^e) = 1 - p^3.at n=32A063453
• Sum of terms in n-th row of A077316.at n=27A077318
• Numbers whose number of divisors equals the sum of their separate prime-power decompositions.at n=17A087004
• Pentagonal numbers (A000326) whose digit reversal is a prime.at n=22A115707
• a(n) = denominator of the sum of reciprocals of the terms in n-th row of triangle A126571.at n=6A126576
• a(n) is the first pentagonal number that is nontrivially the sum of two pentagonal numbers of the type P(p) + P(p+n) (we always have P(k) = P(0) + P(k)).at n=5A133312
• Multiples of 1729, the Hardy-Ramanujan number.at n=20A138129
• Perimeter s/6 (divided by 6) of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q^2-p^2, c=q^2+p^2, b=2*p*q, s=a+b+c, s-+1 are primes.at n=21A155176
• Number of binary strings of length n with no substrings equal to 0001 0011 or 1101.at n=19A164460
• Expansion of (2F1( (-(1/2), 1/6); (-2/3))( 16 x) -1)/(2*x).at n=4A186229
• Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2*w^2 < x^2 + y^2.at n=39A211800
• Pentagonal numbers that are also Niven numbers.at n=40A242043
• Magic sums of 4 X 4 magic squares composed of odd squares.at n=13A271582
• Numbers m having greatest prime power divisor d such that d is smaller than the difference between m and the largest prime smaller than m and d is smaller than the difference between m and twice the largest prime smaller than m/2.at n=12A290290
• Pentagonal numbers divisible by 4.at n=38A298397
• a(n) = 5*(n+1)*(9*n+4).at n=27A304507