Triangular numbers with triangular squares

Max relf at unn.ac.ru
Mon Jan 9 17:36:54 CET 2006


Jack Brennen wrote:
> N. J. A. Sloane wrote:
>> Jack,   this doesn't seem to be in the OEIS at prsent
>> - could you please submit it in the usual way?
>> Many thanks!
>> Neil
> 
> 
>> s[0] = 1
>> s[1] = 9
>> s[n] = 6*s[n-1] - s[n-2] - 4
>>
>> The sequence goes:
>>
>>   1, 9, 49, 281, 1633, 9513, 55441, 323129, ...
> 
> Like Franklin T. Adams-Watters wrote earlier today,
> this sequence is simply A001109, put through the
> transform 8*x+1.  

It is also A081554(n)+1.

Max






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