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A059632 Carryless product 11 X n base 10. 3

%I #10 May 30 2019 17:04:22

%S 0,11,22,33,44,55,66,77,88,99,110,121,132,143,154,165,176,187,198,109,

%T 220,231,242,253,264,275,286,297,208,219,330,341,352,363,374,385,396,

%U 307,318,329,440,451,462,473,484,495,406,417,428,439,550,561,572,583

%N Carryless product 11 X n base 10.

%C a(n) <= 11*n; a(m) = 11*m iff m is a term of A039691. - _Reinhard Zumkeller_, Jul 05 2014

%H Reinhard Zumkeller, <a href="/A059632/b059632.txt">Table of n, a(n) for n = 0..10000</a>

%H David Applegate, Marc LeBrun and N. J. A. Sloane, <a href="http://neilsloane.com/doc/carry1.pdf">Carryless Arithmetic (I): The Mod 10 Version</a>.

%e a(19)=109 since we have 11 X 19 = carryless sum of 100, 90, 10 and 9 =109

%o (Haskell)

%o a059632 n = foldl (\v d -> 10 * v + d) 0 $

%o map (flip mod 10) $ zipWith (+) ([0] ++ ds) (ds ++ [0])

%o where ds = map (read . return) $ show n

%o -- _Reinhard Zumkeller_, Jul 05 2014

%Y Cf. A001477 for carryless 1 X n, A004520 for carryless 2 X 10 base 10, A055120 for carryless 9 X n, A008592 for carryless 10 X n.

%Y Cf. A048724 carryless 3Xn in base 2, A242399 carryless 4Xn in base 3.

%Y Cf. A008593.

%K base,nonn

%O 0,2

%A _Henry Bottomley_, Feb 19 2001

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