A356855 a(n) is the least number m such that u defined by u(i) = bigomega(m + 2i) satisfies u(i) = u(0) for 0 <= i < n and u(n) != u(0), or -1 if no such number exists.
1, 4, 3, 215, 213, 1383, 3091, 8129, 151403, 151401, 2560187, 33396293, 33396291, 56735777, 1156217487, 2514196079
Offset: 1
Examples
Let u be defined by u(i) = bigomega(3 + 2i). u(i) = 1 for 0 <= i < 3 and u(3) = 2 != 1, and 3 is the smallest such number, hence a(3) = 3. Let u be defined by u(i) = bigomega(4 + 2i). u(i) = 2 for 0 <= i < 2 and u(3) = 3 != 2 , and 4 is the smallest such number, hence a(2) = 4. Let u be defined by u(i) = bigomega(151403 + 2i). u(i) = 3 for 0 <= i < 9 and u(9) = 2 != 3, and 151403 is the smallest such number, hence a(9) = 151403.
Programs
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PARI
u(m,i)=bigomega(m+2*i) card(m)=my(k=u(m,0),c=0);while(u(m,c)==k,c++);c a(n)=my(c=0);for(m=1,+oo,c=card(m);if(c==n,return(m)))