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 A110971 Triangle T(n,k) (n >= 2, 1 <= k <= n-1) read by rows: row n gives epispectrum of a path P_n (see reference for precise definition). 2
 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 6, 6, 1, 1, 2, 7, 11, 10, 1, 1, 2, 8, 14, 24, 14, 1, 1, 2, 9, 16, 35, 42, 22, 1, 1, 2, 10, 18, 45, 68, 81, 30, 1, 1, 2, 11, 20, 55, 89, 149, 138, 46, 1, 1, 2, 12, 22, 66, 110, 216, 282, 250, 62, 1, 1, 2, 13, 24, 78, 132, 285, 422, 577, 419 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 2,5 LINKS Toufik Mansour, Armend Sh. Shabani, Bargraphs in bargraphs, Turkish Journal of Mathematics (2018) Vol. 42, Issue 5, 2763-2773. M. A. Michels and U. Knauer, The congruence classes of paths and cycles, Discr. Math., 309 (2009), 5352-5359. EXAMPLE Triangle begins:   1;   1, 1;   1, 2,  1;   1, 2,  4,  1;   1, 2,  6,  6,  1;   1, 2,  7, 11, 10,   1;   1, 2,  8, 14, 24,  14,   1;   1, 2,  9, 16, 35,  42,  22,   1;   1, 2, 10, 18, 45,  68,  81,  30,   1;   1, 2, 11, 20, 55,  89, 149, 138,  46,    1;   1, 2, 12, 22, 66, 110, 216, 282, 250,   62,   1;   1, 2, 13, 24, 78, 132, 285, 422, 577,  419,  94,   1;   1, 2, 14, 26, 91, 156, 364, 568, 945, 1070, 732, 126, 1; CROSSREFS Cf. A152086, A102699. Sequence in context: A137855 A113143 A181802 * A136788 A334622 A136450 Adjacent sequences:  A110968 A110969 A110970 * A110972 A110973 A110974 KEYWORD nonn,tabl AUTHOR N. J. A. Sloane, Sep 20 2009 STATUS approved

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Last modified January 19 20:38 EST 2021. Contains 340270 sequences. (Running on oeis4.)