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 A277315 a(n) = the largest coefficient in Stern polynomial B(n,t). 6
 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, 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, 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS a(n) = gives the largest term on row n of table A125184. LINKS Antti Karttunen, Table of n, a(n) for n = 0..8192 FORMULA a(n) = A051903(A260443(n)). a(2n) = a(n). PROG (Scheme) (define (A277315 n) (A051903 (A260443 n))) ;; Or as a standalone program: (define (A277315 n) (reduce max 0 (A260443as_coeff_list n))) (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)))))) (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))))))) CROSSREFS Cf. A051903, A125184, A260443. Sequence in context: A198339 A262561 A264990 * A277326 A050431 A051574 Adjacent sequences:  A277312 A277313 A277314 * A277316 A277317 A277318 KEYWORD nonn AUTHOR Antti Karttunen, Oct 10 2016 STATUS approved

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Last modified July 19 22:14 EDT 2019. Contains 325168 sequences. (Running on oeis4.)