Lucas sequence

Summary

Lucas sequence is a mathematical concept^[1]. It draws 103 Wikipedia views per month (mathematical_concept category, ranking #156 of 1,007).^[2]

Key Facts

• Lucas sequence's instance of is recorded as mathematical concept^[3].
• Édouard Lucas is named after Lucas sequence^[4].
• Lucas sequence's subclass of is recorded as constant-recursive sequence^[5].
• Lucas sequence's subclass of is recorded as integer sequence^[6].
• Lucas sequence's Freebase ID is recorded as /m/036t82^[7].
• Lucas sequence's Encyclopædia Britannica Online ID is recorded as topic/Lucas-sequence^[8].
• Lucas sequence's different from is recorded as Lucas number^[9].
• Lucas sequence's defining formula is recorded as U_0(P,Q) = 0,\quad U_1(P,Q)=1,\quad U_{n+2}(P,Q)=P\cdot U_{n+1}(P,Q) - Q\cdot U_n(P,Q),\,n\geq 0; V_0(P,Q) = 2,\quad V_1(P,Q)=P,\quad V_{n+2}(P,Q)=P\cdot V_{n+1}(P,Q) - Q\cdot V_n(P,Q)^[10].
• Lucas sequence's BabelNet ID is recorded as 03602418n^[11].
• Lucas sequence's MathWorld ID is recorded as LucasSequence^[12].
• Lucas sequence's maintained by WikiProject is recorded as WikiProject Mathematics^[13].
• Lucas sequence's Microsoft Academic ID is recorded as 154977054^[14].
• Lucas sequence's OpenAlex ID is recorded as C154977054^[15].

Why It Matters

Lucas sequence draws 103 Wikipedia views per month (mathematical_concept category, ranking #156 of 1,007).^[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.^[16] It is known by 6 alternative names across languages and contexts.^[17]