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Triangle read by rows: row n lists the digits of A135699(n), the palindromic number with odd number of digits formed from the reflected decimal expansion of golden ratio phi.
4

%I #16 Feb 03 2023 04:55:01

%S 1,1,6,1,1,6,1,6,1,1,6,1,8,1,6,1,1,6,1,8,0,8,1,6,1,1,6,1,8,0,3,0,8,1,

%T 6,1,1,6,1,8,0,3,3,3,0,8,1,6,1,1,6,1,8,0,3,3,9,3,3,0,8,1,6,1,1,6,1,8,

%U 0,3,3,9,8,9,3,3,0,8,1,6,1

%N Triangle read by rows: row n lists the digits of A135699(n), the palindromic number with odd number of digits formed from the reflected decimal expansion of golden ratio phi.

%C Also, successive digits of the terms of A135699.

%H G. C. Greubel, <a href="/A138073/b138073.txt">Table of n, a(n) for the first 50 rows</a>

%e Triangle begins:

%e .............. 1

%e ........... 1, 6, 1

%e ........ 1, 6, 1, 6, 1

%e ..... 1, 6, 1, 8, 1, 6, 1

%e .. 1, 6, 1, 8, 0, 8, 1, 6, 1

%t nn=10;With[{phi=RealDigits[GoldenRatio,10,nn+1][[1]]},Flatten[ Table[ Join[Take[phi,n],Take[phi,{n+1}],Reverse[Take[phi,n]]],{n,0,nn}]]] (* _Harvey P. Dale_, May 08 2012 *)

%Y Decimal expansion of phi: A001622. Cf. A135699, A135700, A138072.

%K easy,nonn,tabf,base

%O 1,3

%A _Omar E. Pol_, Mar 03 2008