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A077370 Largest n-digit triangular number whose external digits as well as internal digits form a triangular number, or 0 if no such number exists. 0

%I #7 Dec 05 2013 19:55:52

%S 6,91,666,6786,48205,400065,2943951,56121715,497086215,5490000505,

%T 50127436765,401241809205,5699935500265,48641411367615,

%U 947211006213361,4036467268544805,35196287672814036,222222222111111111

%N Largest n-digit triangular number whose external digits as well as internal digits form a triangular number, or 0 if no such number exists.

%C At least one such number exists for every even n:

%C (2*10^(n/2)+1)*(10^(n/2)-1)/9, which gives lower bounds

%C a(2)>=21, a(4)>=2211, a(6)>=222111, a(8)>=22221111, etc., i.e., the triangular numbers (A000217) with indices 6, 66, 666, 6666, etc.

%Y Cf. A000217, A077366, A077367, A077368, A077369.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Nov 06 2002

%E Offset corrected, terms a(2) and a(4) corrected, and terms a(6)-a(18) added by _Jon E. Schoenfield_, Jul 03 2010

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Last modified September 17 20:00 EDT 2024. Contains 375990 sequences. (Running on oeis4.)