cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A025632 Numbers of form 7^i*10^j, with i, j >= 0.

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%I A025632 #19 Jul 06 2025 10:19:57
%S A025632 1,7,10,49,70,100,343,490,700,1000,2401,3430,4900,7000,10000,16807,
%T A025632 24010,34300,49000,70000,100000,117649,168070,240100,343000,490000,
%U A025632 700000,823543,1000000,1176490,1680700,2401000,3430000,4900000,5764801,7000000
%N A025632 Numbers of form 7^i*10^j, with i, j >= 0.
%H A025632 Reinhard Zumkeller, <a href="/A025632/b025632.txt">Table of n, a(n) for n = 1..10000</a>
%F A025632 Sum_{n>=1} 1/a(n) = (7*10)/((7-1)*(10-1)) = 35/27. - _Amiram Eldar_, Sep 25 2020
%F A025632 a(n) ~ exp(sqrt(2*log(7)*log(10)*n)) / sqrt(70). - _Vaclav Kotesovec_, Sep 25 2020
%F A025632 a(n) = 7^A025671(n) * 10^A025689(n). - _R. J. Mathar_, Jul 06 2025
%t A025632 n = 10^6; Flatten[Table[7^i*10^j, {i, 0, Log[7, n]}, {j, 0, Log10[n/7^i]}]] // Sort (* _Amiram Eldar_, Sep 25 2020 *)
%o A025632 (Haskell)
%o A025632 import Data.Set (singleton, deleteFindMin, insert)
%o A025632 a025632 n = a025632_list !! (n-1)
%o A025632 a025632_list = f $ singleton (1,0,0) where
%o A025632    f s = y : f (insert (7 * y, i + 1, j) $ insert (10 * y, i, j + 1) s')
%o A025632          where ((y, i, j), s') = deleteFindMin s
%o A025632 -- _Reinhard Zumkeller_, May 15 2015
%o A025632 (PARI) list(lim)=my(v=List(), N); for(n=0, logint(lim\=1, 10), N=10^n; while(N<=lim, listput(v, N); N*=7)); Set(v) \\ _Charles R Greathouse IV_, Jan 10 2018
%Y A025632 Cf. A025612, A025616, A025621, A025625, A025629, A025634, A025635, A108761, A003596, A003597, A107988, A003598, A108698, A003599, A107788, A108687, A108779, A108090.
%K A025632 easy,nonn
%O A025632 1,2
%A A025632 _David W. Wilson_