000127720 001__ 127720 000127720 005__ 20240319081030.0 000127720 0247_ $$2doi$$a10.2298/FIL2217985G 000127720 0248_ $$2sideral$$a134847 000127720 037__ $$aART-2022-134847 000127720 041__ $$aeng 000127720 100__ $$aGrau, José 000127720 245__ $$aA class of weighted Delannoy numbers 000127720 260__ $$c2022 000127720 5060_ $$aAccess copy available to the general public$$fUnrestricted 000127720 5203_ $$aThe weighted Delannoy numbers are defined by the recurrence relation fm,n = α fm−1,n +β fm,n−1 + γ fm−1,n−1 if mn > 0, with fm,n = α mβ n if nm = 0. In this work, we study a generalization of these numbers considering the same recurrence relation but with fm,n = A mB n if nm = 0. More particularly, we focus on the diagonal sequence fn,n. With some ingenuity, we are able to make use of well-established methods by Pemantle and Wilson, and by Melczer in order to determine its asymptotic behavior in the case A, B, α, β, γ ≥ 0. In addition, we also study its P-recursivity with the help of symbolic computation tools. 000127720 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000127720 590__ $$a0.8$$b2022 000127720 591__ $$aMATHEMATICS$$b170 / 329 = 0.517$$c2022$$dQ3$$eT2 000127720 591__ $$aMATHEMATICS, APPLIED$$b210 / 267 = 0.787$$c2022$$dQ4$$eT3 000127720 592__ $$a0.368$$b2022 000127720 593__ $$aMathematics (miscellaneous)$$c2022$$dQ3 000127720 594__ $$a1.4$$b2022 000127720 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000127720 700__ $$aOller-Marcén, Antonio 000127720 700__ $$aVarona, Juan 000127720 773__ $$g36, 17 (2022), 5985-6007$$pFILOMAT$$tFILOMAT$$x0354-5180 000127720 8564_ $$s668881$$uhttps://zaguan.unizar.es/record/127720/files/texto_completo.pdf$$yVersión publicada 000127720 8564_ $$s1464195$$uhttps://zaguan.unizar.es/record/127720/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000127720 909CO $$ooai:zaguan.unizar.es:127720$$particulos$$pdriver 000127720 951__ $$a2024-03-18-17:07:20 000127720 980__ $$aARTICLE