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A277315 a(n) = the largest coefficient in Stern polynomial B(n,t).

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%I A277315 #8 Oct 13 2016 10:30:28
%S A277315 0,1,1,1,1,2,1,1,1,2,2,3,1,2,1,1,1,2,2,3,2,4,3,3,1,3,2,3,1,2,1,1,1,2,
%T A277315 2,3,2,5,3,4,2,4,4,6,3,5,3,3,1,3,3,5,2,5,3,4,1,3,2,3,1,2,1,1,1,2,2,3,
%U A277315 2,5,3,4,2,6,5,8,3,7,4,4,2,4,4,8,4,10,6,7,3,6,5,8,3,5,3,3,1,3,3,5,3,7,5,6,2,6,5,8,3,7,4,4,1,4,3,5,2,5,3,4,1
%N A277315 a(n) = the largest coefficient in Stern polynomial B(n,t).
%C A277315 a(n) = gives the largest term on row n of table A125184.
%H A277315 Antti Karttunen, <a href="/A277315/b277315.txt">Table of n, a(n) for n = 0..8192</a>
%F A277315 a(n) = A051903(A260443(n)).
%F A277315 a(2n) = a(n).
%o A277315 (Scheme)
%o A277315 (define (A277315 n) (A051903 (A260443 n)))
%o A277315 ;; Or as a standalone program:
%o A277315 (define (A277315 n) (reduce max 0 (A260443as_coeff_list n)))
%o A277315 (definec (A260443as_coeff_list n) (cond ((zero? n) (list)) ((= 1 n) (list 1)) ((even? n) (cons 0 (A260443as_coeff_list (/ n 2)))) (else (add_two_lists (A260443as_coeff_list (/ (- n 1) 2)) (A260443as_coeff_list (/ (+ n 1) 2))))))
%o A277315 (define (add_two_lists nums1 nums2) (let ((len1 (length nums1)) (len2 (length nums2))) (cond ((< len1 len2) (add_two_lists nums2 nums1)) (else (map + nums1 (append nums2 (make-list (- len1 len2) 0)))))))
%Y A277315 Cf. A051903, A125184, A260443.
%K A277315 nonn
%O A277315 0,6
%A A277315 _Antti Karttunen_, Oct 10 2016