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A136311 Array read by antidiagonals: a(1) = 1; a(n+1) = a(n) + (largest k-gonal number <= a(n)). 1
1, 1, 2, 1, 2, 3, 1, 2, 3, 6, 1, 2, 3, 4, 12, 1, 2, 3, 4, 8, 22, 1, 2, 3, 4, 5, 12, 43, 1, 2, 3, 4, 5, 10, 21, 79, 1, 2, 3, 4, 5, 6, 15, 37, 157, 1, 2, 3, 4, 5, 6, 12, 27, 73, 310, 1, 2, 3, 4, 5, 6, 7, 18, 49, 137, 610, 1, 2, 3, 4, 5, 6, 7, 14, 33, 84, 258, 1205, 1, 2, 3, 4, 5, 6, 7, 8, 21, 61 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..88.

EXAMPLE

The array begins:

==================================================================

n=..|.1.|.2.|.3.|.4.|..5.|..6.|..7.|..8.|...9.|..10.|..11.|...12.|

==================================================================

k=3.|.1.|.2.|.3.|.6.|.12.|.22.|.43.|.79.|.157.|.310.|.610.|.1205.|.A060985

k=4.|.1.|.2.|.3.|.4.|..8.|.12.|.21.|.37.|..73.|.137.|.258.|..514.|.A060984

k=5.|.1.|.2.|.3.|.4.|..5.|.10.|.15.|.27.|..49.|..84.|.154.|..299.|

k=6.|.1.|.2.|.3.|.4.|..5.|..6.|.12.|.18.|..33.|..61.|.106.|..197.|

k=7.|.1.|.2.|.3.|.4.|..5.|..6.|..7.|.14.|..21.|..39.|..73.|..128.|

k=8.|.1.|.2.|.3.|.4.|..5.|..6.|..7.|..8.|..16.|..24.|..45.|...85.|

k=9.|.1.|.2.|.3.|.4.|..5.|..6.|..7.|..8.|...9.|..18.|..27.|...51.|

==================================================================

MAPLE

A081422 := proc(k, n) n/2*((k-2)*n-k+4) ; end: A136311 := proc(k, n) option remember ; local aprev, n2 ; if n = 1 then RETURN(1) ; else aprev := A136311(k, n-1) ; for n2 from 0 do if A081422(k, n2) > aprev then RETURN( aprev+A081422(k, n2-1)); fi; od: fi ; end: for d from 4 to 20 do for n from 1 to d-3 do printf("%d, ", A136311(d-n, n)) ; od: od: # R. J. Mathar, Jun 12 2008

CROSSREFS

Cf. A060984, A060985.

Sequence in context: A165884 A263939 A347499 * A243884 A334428 A126260

Adjacent sequences: A136308 A136309 A136310 * A136312 A136313 A136314

KEYWORD

easy,nonn,tabl

AUTHOR

Jonathan Vos Post, Mar 22 2008

EXTENSIONS

More terms from R. J. Mathar, Jun 12 2008

STATUS

approved

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Last modified February 3 00:09 EST 2023. Contains 360024 sequences. (Running on oeis4.)