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A070153 Take pairs (x,y) with Sum_{j = x..y} j = concatenation of x and y. Sort pairs on y then x. This sequence gives y of each pair. 6

%I #35 Jan 29 2022 12:15:50

%S 5,7,29,53,63,88,91,119,403,533,623,2148,2353,2813,3835,5333,6076,

%T 6223,7889,8728,9163,25039,26603,51513,53333,55168,62223,85338,93633,

%U 103463,119063,134938,159518,175238,185979,213073,219413,235313,242818,264888

%N Take pairs (x,y) with Sum_{j = x..y} j = concatenation of x and y. Sort pairs on y then x. This sequence gives y of each pair.

%C From _Bernard Schott_, Jan 26 2022: (Start)

%C Some subsequences, from Diophante and Crux Mathematicorum:

%C {(8*10^m-5)/15, m >= 1} = 5, 53, 533, 5333, ... (A350995).

%C {7*(4*10^m+5)/45, m >= 1} = 7, 63, 623, 6223, ...

%C {13*(224*100^m-125)/12375, m >= 2} = 2353, 235313, 23531313, ... (End)

%H Diophante, <a href="http://www.diophante.fr/problemes-par-themes/arithmetique-et-algebre/a1-pot-pourri/1024-a1945-concatenations-en-tous-genres">A1945 - Concaténations en tous genres</a> (in French).

%H R. Hoshino, <a href="http://cms.math.ca/crux/v27/n1/public_page34-47.pdf">Astonishing Pairs of Numbers</a>, Crux Mathematicorum 27(1), 2001, p. 39-44.

%e 1+...+5 = 15; 2+...+7 = 27; 4+...+29 = 429; 13+...+53 = 1353; 18+...+63 = 1863.

%e 133+...+533 = 133533.

%e 178+...+623 = 178623.

%Y Cf. A070152, A071297, A097166, A186074.

%Y Cf. A350995 (is a subsequence).

%K nonn,base

%O 1,1

%A _Lekraj Beedassy_, May 06 2002

%E More terms from _David W. Wilson_, Jun 04 2002

%E Name edited by _Michel Marcus_, Jan 29 2022

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)