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 A195166 Numbers expressible as 2^a-2^b, with 0 <= b< a, such that n^a-n^b is divisible by 2^a-2^b for all n. 0
 1, 2, 6, 12, 30, 24, 60, 120, 252, 240, 504, 16380, 32760, 65520 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 1     = 2^1  - 2^0. (n^1  - n^0)/1     : A000027 2     = 2^2  - 2^1. (n^2  - n^1)/2     : A000217 6     = 2^3  - 2^1. (n^3  - n^1)/6     : A000292 12    = 2^4  - 2^2. (n^4  - n^2)/12    : A002415 30    = 2^5  - 2^1. (n^5  - n^1)/30    : A033455 24    = 2^5  - 2^3. (n^5  - n^3)/24    : A006414 60    = 2^6  - 2^2. (n^6  - n^2)/60    : A213547 120   = 2^7  - 2^3. (n^7  - n^3)/120   : A114239 252   = 2^8  - 2^2. (n^8  - n^2)/252   : 240   = 2^8  - 2^4. (n^8  - n^4)/240   : A078876 504   = 2^9  - 2^3. (n^9  - n^3)/504   : 16380 = 2^14 - 2^2. (n^14 - n^2)/16380 : 32760 = 2^15 - 2^3. (n^15 - n^3)/32760 : 65520 = 2^16 - 2^4. (n^16 - n^4)/65520 : LINKS Qi Sun and Ming Zhi Zhang, Pairs where 2^a-2^b divides n^a-n^b for all n, Proc. Amer. Math. Soc. 93 (1985), 218-220 CROSSREFS Sequence in context: A093387 A324408 A229487 * A225646 A225627 A237704 Adjacent sequences:  A195163 A195164 A195165 * A195167 A195168 A195169 KEYWORD nonn,fini,full AUTHOR Michel Marcus, Dec 21 2012 STATUS approved

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Last modified June 17 22:17 EDT 2019. Contains 324200 sequences. (Running on oeis4.)