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A059632 Carryless multiplication 11 X n base 10. 3
0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 109, 220, 231, 242, 253, 264, 275, 286, 297, 208, 219, 330, 341, 352, 363, 374, 385, 396, 307, 318, 329, 440, 451, 462, 473, 484, 495, 406, 417, 428, 439, 550, 561, 572, 583 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) <= 11*n; a(m) = 11*m iff m is a term of A039691. - Reinhard Zumkeller, Jul 05 2014

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

David Applegate, Marc LeBrun and N. J. A. Sloane, Carryless Arithmetic (I): The Mod 10 Version.

EXAMPLE

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

PROG

(Haskell)

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

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

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

-- Reinhard Zumkeller, Jul 05 2014

CROSSREFS

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.

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

Cf. A008593.

Sequence in context: A178358 A044896 A048841 * A008593 A135499 A080195

Adjacent sequences:  A059629 A059630 A059631 * A059633 A059634 A059635

KEYWORD

base,nonn

AUTHOR

Henry Bottomley, Feb 19 2001

STATUS

approved

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Last modified December 9 10:23 EST 2016. Contains 278971 sequences.