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 A211024 Sum of all visible nodes in the structure of A211000 at n-th stage. 5
 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 59, 71, 79, 93, 105, 117, 121, 133, 141, 153, 165, 177, 181, 193, 201, 209, 213, 217, 221, 237, 253, 285, 318, 350, 354, 358, 362, 400, 439, 479, 483, 491, 499, 527, 543, 559, 563, 575, 583, 591, 595, 599, 603 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS First differs from A000217 at a(11). For n >= 13 the Q-toothpick structure of A211000 looks like essentially a column of tangent circles of radius 1. The structure arises from the prime numbers A000040. The behavior seems to be as modular arithmetic but in a growing structure. LINKS N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS EXAMPLE Consider the illustration of the nodes in structure of A211000: ----------------------------------------------------- After 9 stages    After 10 stages    After 11 stages ----------------------------------------------------- . .    1                 1                  1 .  0   2             0   2              0   2 .        3                 3                  3 .          4                 4                  4 .        5                 5                  5 .      6                 6                  6 .        7                 7                 11 .          8            10   8             10   8 .        9                 9                  9 . ---------------------------------------------------- We can see that: a(9)  = 0+1+2+3+4+5+6+7+8+9 = a(8)+9 = 45 a(10) = 0+1+2+3+4+5+6+7+8+9+10 = a(9)+10 = 55 a(11) = 0+1+2+3+4+5+6+8+9+10+11 = a(10)-7+11 = 59 CROSSREFS Cf. A000217, A187210, A211000-A211003, A211010, A211011, A211020-A211023. Sequence in context: A033442 A105335 A130489 * A261422 A262544 A033443 Adjacent sequences:  A211021 A211022 A211023 * A211025 A211026 A211027 KEYWORD nonn AUTHOR Omar E. Pol, Apr 14 2012 STATUS approved

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Last modified April 21 20:03 EDT 2019. Contains 322328 sequences. (Running on oeis4.)