perplexus.info :: Numbers : An interesting recurrence

An interesting recurrence (Posted on 2017-01-17)

A sequence with the recurrence f(n)=3*f(n-1)+f(n-2) starts with two 1-digit numbers. The sequence contains the 8-digit number ABCDAECD. A≠0, and A, B, C, D, and E are not necessarily distinct. Find all possible values of ABCDAECD.

Submitted by Math Man

Rating: 5.0000 (1 votes)

Solution: (Hide)

10661766, 13281128, 15291729, 17911091, 19921692, 21932293, 26562256, 28572857, 30583458, 35213421, 39843384, 43864586, 48494549, 50505150, 52515751, 55135113, 59765076, 65796879, 72437443, 85088108, 94369736

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Why there are many solutions	Jer	2017-01-18 17:35:42
Why there are many solutions	Math Man	2017-01-18 16:25:20
A number worth looking for?	Brian Smith	2017-01-17 23:22:51
computer solution	Charlie	2017-01-17 11:20:42
Unreasonable	Jer	2017-01-17 10:48:55

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