![]() Specific sequence formulas can also looked at, such as the sequence of the Lah numbers formula. The result contains Riemann zeta functions. Another input is the Dirichlet generating function sequence of the tritriangular numbers. Wolframalpha sequence series#If one asks Wolfram|Alpha for a specific property of a sequence, say a generating function, with a query such as generating function of the multichoose sequence, one obtains additional information, such as a plot of the generating function.Ĭonversely, we can ask Wolfram|Alpha to calculate the series (-1 + 1/Sqrt)/(2 x) at x = 0 to order 12, giving a result that recovers the sequence terms of the multichoose sequence. The results for the sequence of the tetrahedral numbers are shown here. Wolfram|Alpha gives the notation, description, terms, formula, recurrence relation, ordinary and exponential generating function, a table program, and a plot. Sequences that have been given names historically have many interesting mathematical properties. Rules for the sequence terms are either recognized algorithmically or as part of the On-Line Encyclopedia of Integer Sequences (OEIS), such as 8, 14, 38, 68, 98, 104, 194, 224 …. Wolfram|Alpha can recognize millions of different sequences. After that, the input sequence of the polyhexes recovers the above sequence. ![]() What rule gives the integer sequence 3, 10, 17, 18, 7, …? Wolfram|Alpha can easily find that this sequence comes from a simple cubic polynomial, – x 3 + 6 x 2 – 4 x + 2.Ī different sequence, 1, 1, 3, 7, 22, 82, 333, 1448, … can be identified as the sequence of the polyhexes. ![]()
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