Number Series

Generates sequences of numbers based on mathematical patterns. Supports linear (arithmetic), geometric, Fibonacci, prime, even/odd, random, and custom formula modes.

Node

Interactive preview is available in the interactive reader.

Sockets

Start (in): Float — starting value of the series.
Step (in): Float — increment between values (linear, fibonacci, evenOdd).
Count (in): Int — total number of values to generate.
Numbers (out): PointArray — generated number series as [value, 0, 0] entries.

Series Types

Linear (Arithmetic): start + n × step — classic arithmetic progression (1, 3, 5, 7...).
Geometric: start × ratio^n — each term multiplied by ratio (1, 2, 4, 8...).
Fibonacci: F(0)=start, F(1)=start+step, F(n)=F(n-1)+F(n-2) — sum of previous two (1, 1, 2, 3, 5...).
Prime: Prime numbers ≥ start (2, 3, 5, 7, 11...).
Even/Odd: Filters sequence by even or odd parity.
Random: Deterministic random numbers in [Min, Max], seeded for reproducibility.
Formula: Custom mathematical expressions with full programming capabilities.

Parameters

Type: Series mode selector (Linear, Geometric, Fibonacci, Prime, Even/Odd, Random, Formula).
Start Value: First term / seed value. Default: 0.
Count: Number of terms to generate. Default: 10.
Step: Common difference (linear) or F(1) offset (fibonacci). Default: 1.
Ratio: Multiplication factor per term (geometric mode). Default: 2.
Min / Max: Range bounds for random mode. Default: 0 / 100.
Seed: Deterministic seed for random mode. Default: 0.
Parity: Even or Odd filter (evenOdd mode). Default: Even.
f(n): Custom expression (formula mode). Default: n.
Div/0 Strategy: How to handle divide-by-zero: Large Number, Clamp to 0, or Report Error.

How It Works

Choose a series type from the Type dropdown.
Set the starting value and count of numbers to generate.
Configure type-specific parameters (step for linear, ratio for geometric, expression for formula, etc.).
Connect inputs or use the settings panel to control values dynamically.
The generated series appears at the Numbers output as a PointArray.

Formula Mode — Quick Reference

Variables: n, i (index), count, start, step, t (normalized 0–1).
Constants: PI (3.14159...), E (2.71828...).
Operators: +, -, , /, %, ^ or * (power), ==, !=, <, >, <=, >=, &&, ||, !, ternary (?:).
Functions: sin, cos, tan, asin, acos, atan, atan2, exp, log, log10, log2, sqrt, pow, floor, ceil, round, trunc, sign, abs, min, max.

Formula Examples

Quadratic: n^2 + 2*n + 1 — Squares: 1, 4, 9, 16, 25...
Sine Wave: sin(n PI / count) start — smooth wave from 0 to 0.
Golden Ratio: start * pow((1 + sqrt(5)) / 2, n) — exponential growth using φ.
Damped Oscillation: start exp(-n / count) sin(n * PI / step) — decaying sine wave.
Conditional: (n % 2 === 0) ? start + n step : start - n step — alternating progression.
Linear with Step: start + n * step — standard arithmetic progression.