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 A255804 Numbers representable as x*y*(x+y), b*c+b+c, and d^e+d+e, where d>1, e>1, b>=c>1 and x>=y>1. 0
 264, 308, 8192, 16400, 88508, 236684, 504812, 12127808, 22491308, 82310258 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Intersection of A253775, A254671, A255265. LINKS Table of n, a(n) for n=1..10. EXAMPLE a(2) = 308 = 17^2 + 17 + 2 = 7 * 4 * (7 + 4) = 102 * 2 + 102 + 2. PROG (Python 2) TOP = 100000000 a = [0]*TOP c = [] for y in range(2, TOP/2): if 2**y + 2 + y >= TOP: break for x in range(2, TOP/2): k = x**y+(x+y) if k>=TOP: break c.append(k) for y in range(2, TOP/2): if 2*y*y*y >= TOP: break for x in range(y, TOP/2): k = x*y*(x+y) if k>=TOP: break a[k]=1 for y in range(2, TOP/2): if y*(y+2) >= TOP: break for x in range(y, TOP/2): k = x*y+(x+y) if k>=TOP: break a[k]|=2 if a[k]==3 and (k in c): print k, print [n for n in range(TOP) if a[n]==3 and (n in c)] CROSSREFS Cf. A255267, A254034, A255265, A254671, A253775. Sequence in context: A345844 A253694 A253701 * A351802 A050240 A105683 Adjacent sequences: A255801 A255802 A255803 * A255805 A255806 A255807 KEYWORD nonn,more AUTHOR Alex Ratushnyak, Mar 07 2015 STATUS approved

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Last modified June 10 20:56 EDT 2023. Contains 363207 sequences. (Running on oeis4.)